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Finding the Fourth Proportional to 5,502.92, 7,594 and 2,985.08

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Solution

The fourth proportional to 5,502.92, 7,594 and 2,985.08 is: 4,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.92 : 7,594 = 2,985.08 : x
  2. Step 2: Convert to fraction form
    5,502.92/7,594 = 2,985.08/x
  3. Step 3: Cross multiply
    5,502.92x = 7,594 × 2,985.08
  4. Step 4: Simplify right side
    5,502.92x = 22,668,697.52
  5. Step 5: Solve for x
    x = 22,668,697.52/5,502.92
  6. Step 6: Final answer
    x = 4,119.39

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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.