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Finding the Fourth Proportional to 3,830,171.76, 5,746,098.69 and 1,134,708.03

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Solution

The fourth proportional to 3,830,171.76, 5,746,098.69 and 1,134,708.03 is: 1,702,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,171.76 : 5,746,098.69 = 1,134,708.03 : x
  2. Step 2: Convert to fraction form
    3,830,171.76/5,746,098.69 = 1,134,708.03/x
  3. Step 3: Cross multiply
    3,830,171.76x = 5,746,098.69 × 1,134,708.03
  4. Step 4: Simplify right side
    3,830,171.76x = 6,520,144,324,715.48
  5. Step 5: Solve for x
    x = 6,520,144,324,715.48/3,830,171.76
  6. Step 6: Final answer
    x = 1,702,311.21

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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.