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Finding the Fourth Proportional to 3,449.47, 4,760.22 and 1,877.53

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Solution

The fourth proportional to 3,449.47, 4,760.22 and 1,877.53 is: 2,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.47 : 4,760.22 = 1,877.53 : x
  2. Step 2: Convert to fraction form
    3,449.47/4,760.22 = 1,877.53/x
  3. Step 3: Cross multiply
    3,449.47x = 4,760.22 × 1,877.53
  4. Step 4: Simplify right side
    3,449.47x = 8,937,455.86
  5. Step 5: Solve for x
    x = 8,937,455.86/3,449.47
  6. Step 6: Final answer
    x = 2,590.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.