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Finding the Fourth Proportional to 5,729.49, 8,594.25 and 1,569.39

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Solution

The fourth proportional to 5,729.49, 8,594.25 and 1,569.39 is: 2,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.49 : 8,594.25 = 1,569.39 : x
  2. Step 2: Convert to fraction form
    5,729.49/8,594.25 = 1,569.39/x
  3. Step 3: Cross multiply
    5,729.49x = 8,594.25 × 1,569.39
  4. Step 4: Simplify right side
    5,729.49x = 13,487,730.01
  5. Step 5: Solve for x
    x = 13,487,730.01/5,729.49
  6. Step 6: Final answer
    x = 2,354.09

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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.