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Finding the Fourth Proportional to 5,434.71, 8,152.14 and 1,539.11

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Solution

The fourth proportional to 5,434.71, 8,152.14 and 1,539.11 is: 2,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.71 : 8,152.14 = 1,539.11 : x
  2. Step 2: Convert to fraction form
    5,434.71/8,152.14 = 1,539.11/x
  3. Step 3: Cross multiply
    5,434.71x = 8,152.14 × 1,539.11
  4. Step 4: Simplify right side
    5,434.71x = 12,547,060.58
  5. Step 5: Solve for x
    x = 12,547,060.58/5,434.71
  6. Step 6: Final answer
    x = 2,308.69

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