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Finding the Fourth Proportional to 3,607.80, 4,978.62 and 2,427

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Solution

The fourth proportional to 3,607.80, 4,978.62 and 2,427 is: 3,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.80 : 4,978.62 = 2,427 : x
  2. Step 2: Convert to fraction form
    3,607.80/4,978.62 = 2,427/x
  3. Step 3: Cross multiply
    3,607.80x = 4,978.62 × 2,427
  4. Step 4: Simplify right side
    3,607.80x = 12,083,110.74
  5. Step 5: Solve for x
    x = 12,083,110.74/3,607.80
  6. Step 6: Final answer
    x = 3,349.16

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Why These Related Problems?

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