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Finding the Fourth Proportional to 3,830,980.76, 5,746,471.14 and 3,639,415.96

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Solution

The fourth proportional to 3,830,980.76, 5,746,471.14 and 3,639,415.96 is: 5,459,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,980.76 : 5,746,471.14 = 3,639,415.96 : x
  2. Step 2: Convert to fraction form
    3,830,980.76/5,746,471.14 = 3,639,415.96/x
  3. Step 3: Cross multiply
    3,830,980.76x = 5,746,471.14 × 3,639,415.96
  4. Step 4: Simplify right side
    3,830,980.76x = 20,913,798,780,595.39
  5. Step 5: Solve for x
    x = 20,913,798,780,595.39/3,830,980.76
  6. Step 6: Final answer
    x = 5,459,123.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.