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Finding the Fourth Proportional to 5,729.37, 8,594.06 and 1,569.40

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Solution

The fourth proportional to 5,729.37, 8,594.06 and 1,569.40 is: 2,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.37 : 8,594.06 = 1,569.40 : x
  2. Step 2: Convert to fraction form
    5,729.37/8,594.06 = 1,569.40/x
  3. Step 3: Cross multiply
    5,729.37x = 8,594.06 × 1,569.40
  4. Step 4: Simplify right side
    5,729.37x = 13,487,513.71
  5. Step 5: Solve for x
    x = 13,487,513.71/5,729.37
  6. Step 6: Final answer
    x = 2,354.10

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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.