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Finding the Fourth Proportional to 5,499, 7,583.88 and 3,399.48

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Solution

The fourth proportional to 5,499, 7,583.88 and 3,399.48 is: 4,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499 : 7,583.88 = 3,399.48 : x
  2. Step 2: Convert to fraction form
    5,499/7,583.88 = 3,399.48/x
  3. Step 3: Cross multiply
    5,499x = 7,583.88 × 3,399.48
  4. Step 4: Simplify right side
    5,499x = 25,781,248.38
  5. Step 5: Solve for x
    x = 25,781,248.38/5,499
  6. Step 6: Final answer
    x = 4,688.35

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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.