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Finding the Fourth Proportional to 5,706.32, 8,547.69 and 3,359.09

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Solution

The fourth proportional to 5,706.32, 8,547.69 and 3,359.09 is: 5,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.32 : 8,547.69 = 3,359.09 : x
  2. Step 2: Convert to fraction form
    5,706.32/8,547.69 = 3,359.09/x
  3. Step 3: Cross multiply
    5,706.32x = 8,547.69 × 3,359.09
  4. Step 4: Simplify right side
    5,706.32x = 28,712,467.78
  5. Step 5: Solve for x
    x = 28,712,467.78/5,706.32
  6. Step 6: Final answer
    x = 5,031.70

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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.