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Finding the Fourth Proportional to 10,452.99, 15,680.95 and 3,058

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Solution

The fourth proportional to 10,452.99, 15,680.95 and 3,058 is: 4,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.99 : 15,680.95 = 3,058 : x
  2. Step 2: Convert to fraction form
    10,452.99/15,680.95 = 3,058/x
  3. Step 3: Cross multiply
    10,452.99x = 15,680.95 × 3,058
  4. Step 4: Simplify right side
    10,452.99x = 47,952,345.10
  5. Step 5: Solve for x
    x = 47,952,345.10/10,452.99
  6. Step 6: Final answer
    x = 4,587.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.