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Finding the Fourth Proportional to 5,681.52, 8,573.13 and 5,454

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Solution

The fourth proportional to 5,681.52, 8,573.13 and 5,454 is: 8,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.52 : 8,573.13 = 5,454 : x
  2. Step 2: Convert to fraction form
    5,681.52/8,573.13 = 5,454/x
  3. Step 3: Cross multiply
    5,681.52x = 8,573.13 × 5,454
  4. Step 4: Simplify right side
    5,681.52x = 46,757,851.02
  5. Step 5: Solve for x
    x = 46,757,851.02/5,681.52
  6. Step 6: Final answer
    x = 8,229.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.