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Finding the Fourth Proportional to 5,232.42, 7,849.85 and 1,534.71

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Solution

The fourth proportional to 5,232.42, 7,849.85 and 1,534.71 is: 2,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.42 : 7,849.85 = 1,534.71 : x
  2. Step 2: Convert to fraction form
    5,232.42/7,849.85 = 1,534.71/x
  3. Step 3: Cross multiply
    5,232.42x = 7,849.85 × 1,534.71
  4. Step 4: Simplify right side
    5,232.42x = 12,047,243.29
  5. Step 5: Solve for x
    x = 12,047,243.29/5,232.42
  6. Step 6: Final answer
    x = 2,302.42

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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.