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Finding the Fourth Proportional to 5,442.88, 7,500.04 and 5,148.80

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Solution

The fourth proportional to 5,442.88, 7,500.04 and 5,148.80 is: 7,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.88 : 7,500.04 = 5,148.80 : x
  2. Step 2: Convert to fraction form
    5,442.88/7,500.04 = 5,148.80/x
  3. Step 3: Cross multiply
    5,442.88x = 7,500.04 × 5,148.80
  4. Step 4: Simplify right side
    5,442.88x = 38,616,205.95
  5. Step 5: Solve for x
    x = 38,616,205.95/5,442.88
  6. Step 6: Final answer
    x = 7,094.81

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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.