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Finding the Fourth Proportional to 3,109.52, 4,641.52 and 2,740.47

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Solution

The fourth proportional to 3,109.52, 4,641.52 and 2,740.47 is: 4,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.52 : 4,641.52 = 2,740.47 : x
  2. Step 2: Convert to fraction form
    3,109.52/4,641.52 = 2,740.47/x
  3. Step 3: Cross multiply
    3,109.52x = 4,641.52 × 2,740.47
  4. Step 4: Simplify right side
    3,109.52x = 12,719,953.17
  5. Step 5: Solve for x
    x = 12,719,953.17/3,109.52
  6. Step 6: Final answer
    x = 4,090.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.