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Finding the Fourth Proportional to 5,651.29, 7,801.19 and 3,412.71

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Solution

The fourth proportional to 5,651.29, 7,801.19 and 3,412.71 is: 4,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.29 : 7,801.19 = 3,412.71 : x
  2. Step 2: Convert to fraction form
    5,651.29/7,801.19 = 3,412.71/x
  3. Step 3: Cross multiply
    5,651.29x = 7,801.19 × 3,412.71
  4. Step 4: Simplify right side
    5,651.29x = 26,623,199.12
  5. Step 5: Solve for x
    x = 26,623,199.12/5,651.29
  6. Step 6: Final answer
    x = 4,711.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.