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Finding the Fourth Proportional to 5,397.82, 7,442.84 and 4,400.00

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Solution

The fourth proportional to 5,397.82, 7,442.84 and 4,400.00 is: 6,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.82 : 7,442.84 = 4,400.00 : x
  2. Step 2: Convert to fraction form
    5,397.82/7,442.84 = 4,400.00/x
  3. Step 3: Cross multiply
    5,397.82x = 7,442.84 × 4,400.00
  4. Step 4: Simplify right side
    5,397.82x = 32,748,469.79
  5. Step 5: Solve for x
    x = 32,748,469.79/5,397.82
  6. Step 6: Final answer
    x = 6,066.98

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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.