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Finding the Fourth Proportional to 4,807.76, 7,212.68 and 2,034.50

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Solution

The fourth proportional to 4,807.76, 7,212.68 and 2,034.50 is: 3,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.76 : 7,212.68 = 2,034.50 : x
  2. Step 2: Convert to fraction form
    4,807.76/7,212.68 = 2,034.50/x
  3. Step 3: Cross multiply
    4,807.76x = 7,212.68 × 2,034.50
  4. Step 4: Simplify right side
    4,807.76x = 14,674,197.46
  5. Step 5: Solve for x
    x = 14,674,197.46/4,807.76
  6. Step 6: Final answer
    x = 3,052.19

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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.