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Finding the Fourth Proportional to 4,397.01, 6,594.90 and 1,109.90

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Solution

The fourth proportional to 4,397.01, 6,594.90 and 1,109.90 is: 1,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.01 : 6,594.90 = 1,109.90 : x
  2. Step 2: Convert to fraction form
    4,397.01/6,594.90 = 1,109.90/x
  3. Step 3: Cross multiply
    4,397.01x = 6,594.90 × 1,109.90
  4. Step 4: Simplify right side
    4,397.01x = 7,319,700.16
  5. Step 5: Solve for x
    x = 7,319,700.16/4,397.01
  6. Step 6: Final answer
    x = 1,664.70

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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.