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Finding the Fourth Proportional to 5,701.82, 8,542.91 and 5,124.00

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Solution

The fourth proportional to 5,701.82, 8,542.91 and 5,124.00 is: 7,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.82 : 8,542.91 = 5,124.00 : x
  2. Step 2: Convert to fraction form
    5,701.82/8,542.91 = 5,124.00/x
  3. Step 3: Cross multiply
    5,701.82x = 8,542.91 × 5,124.00
  4. Step 4: Simplify right side
    5,701.82x = 43,773,915.69
  5. Step 5: Solve for x
    x = 43,773,915.69/5,701.82
  6. Step 6: Final answer
    x = 7,677.19

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1.5x scale

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.