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Finding the Fourth Proportional to 5,285.71, 7,294.18 and 3,047.68

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Solution

The fourth proportional to 5,285.71, 7,294.18 and 3,047.68 is: 4,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.71 : 7,294.18 = 3,047.68 : x
  2. Step 2: Convert to fraction form
    5,285.71/7,294.18 = 3,047.68/x
  3. Step 3: Cross multiply
    5,285.71x = 7,294.18 × 3,047.68
  4. Step 4: Simplify right side
    5,285.71x = 22,230,284.11
  5. Step 5: Solve for x
    x = 22,230,284.11/5,285.71
  6. Step 6: Final answer
    x = 4,205.74

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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.