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Finding the Fourth Proportional to 5,300.90, 7,314.90 and 3,032.48

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Solution

The fourth proportional to 5,300.90, 7,314.90 and 3,032.48 is: 4,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.90 : 7,314.90 = 3,032.48 : x
  2. Step 2: Convert to fraction form
    5,300.90/7,314.90 = 3,032.48/x
  3. Step 3: Cross multiply
    5,300.90x = 7,314.90 × 3,032.48
  4. Step 4: Simplify right side
    5,300.90x = 22,182,251.38
  5. Step 5: Solve for x
    x = 22,182,251.38/5,300.90
  6. Step 6: Final answer
    x = 4,184.62

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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.