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Finding the Fourth Proportional to 5,497, 7,585.74 and 3,139

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Solution

The fourth proportional to 5,497, 7,585.74 and 3,139 is: 4,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 7,585.74 = 3,139 : x
  2. Step 2: Convert to fraction form
    5,497/7,585.74 = 3,139/x
  3. Step 3: Cross multiply
    5,497x = 7,585.74 × 3,139
  4. Step 4: Simplify right side
    5,497x = 23,811,637.86
  5. Step 5: Solve for x
    x = 23,811,637.86/5,497
  6. Step 6: Final answer
    x = 4,331.75

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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.