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Finding the Fourth Proportional to 5,692, 8,537 and 1,532.30

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Solution

The fourth proportional to 5,692, 8,537 and 1,532.30 is: 2,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 8,537 = 1,532.30 : x
  2. Step 2: Convert to fraction form
    5,692/8,537 = 1,532.30/x
  3. Step 3: Cross multiply
    5,692x = 8,537 × 1,532.30
  4. Step 4: Simplify right side
    5,692x = 13,081,245.10
  5. Step 5: Solve for x
    x = 13,081,245.10/5,692
  6. Step 6: Final answer
    x = 2,298.18

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Why These Related Problems?

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