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Finding the Fourth Proportional to 4,862.78, 7,295.32 and 2,089.47

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Solution

The fourth proportional to 4,862.78, 7,295.32 and 2,089.47 is: 3,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.78 : 7,295.32 = 2,089.47 : x
  2. Step 2: Convert to fraction form
    4,862.78/7,295.32 = 2,089.47/x
  3. Step 3: Cross multiply
    4,862.78x = 7,295.32 × 2,089.47
  4. Step 4: Simplify right side
    4,862.78x = 15,243,374.41
  5. Step 5: Solve for x
    x = 15,243,374.41/4,862.78
  6. Step 6: Final answer
    x = 3,134.71

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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.