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Finding the Fourth Proportional to 4,957.93, 7,432.15 and 1,837.09

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Solution

The fourth proportional to 4,957.93, 7,432.15 and 1,837.09 is: 2,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.93 : 7,432.15 = 1,837.09 : x
  2. Step 2: Convert to fraction form
    4,957.93/7,432.15 = 1,837.09/x
  3. Step 3: Cross multiply
    4,957.93x = 7,432.15 × 1,837.09
  4. Step 4: Simplify right side
    4,957.93x = 13,653,543.63
  5. Step 5: Solve for x
    x = 13,653,543.63/4,957.93
  6. Step 6: Final answer
    x = 2,753.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.