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Finding the Fourth Proportional to 5,549.98, 7,659 and 3,032.14

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Solution

The fourth proportional to 5,549.98, 7,659 and 3,032.14 is: 4,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.98 : 7,659 = 3,032.14 : x
  2. Step 2: Convert to fraction form
    5,549.98/7,659 = 3,032.14/x
  3. Step 3: Cross multiply
    5,549.98x = 7,659 × 3,032.14
  4. Step 4: Simplify right side
    5,549.98x = 23,223,160.26
  5. Step 5: Solve for x
    x = 23,223,160.26/5,549.98
  6. Step 6: Final answer
    x = 4,184.37

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1.5x scale

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.