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Finding the Fourth Proportional to 5,102.70, 7,655.25 and 1,592.58

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Solution

The fourth proportional to 5,102.70, 7,655.25 and 1,592.58 is: 2,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.70 : 7,655.25 = 1,592.58 : x
  2. Step 2: Convert to fraction form
    5,102.70/7,655.25 = 1,592.58/x
  3. Step 3: Cross multiply
    5,102.70x = 7,655.25 × 1,592.58
  4. Step 4: Simplify right side
    5,102.70x = 12,191,598.05
  5. Step 5: Solve for x
    x = 12,191,598.05/5,102.70
  6. Step 6: Final answer
    x = 2,389.24

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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.