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Finding the Fourth Proportional to 5,126.52, 7,686.50 and 3,045.97

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Solution

The fourth proportional to 5,126.52, 7,686.50 and 3,045.97 is: 4,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.52 : 7,686.50 = 3,045.97 : x
  2. Step 2: Convert to fraction form
    5,126.52/7,686.50 = 3,045.97/x
  3. Step 3: Cross multiply
    5,126.52x = 7,686.50 × 3,045.97
  4. Step 4: Simplify right side
    5,126.52x = 23,412,809.97
  5. Step 5: Solve for x
    x = 23,412,809.97/5,126.52
  6. Step 6: Final answer
    x = 4,567.00

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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.