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Finding the Fourth Proportional to 5,397.64, 7,449.46 and 4,004.36

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Solution

The fourth proportional to 5,397.64, 7,449.46 and 4,004.36 is: 5,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.64 : 7,449.46 = 4,004.36 : x
  2. Step 2: Convert to fraction form
    5,397.64/7,449.46 = 4,004.36/x
  3. Step 3: Cross multiply
    5,397.64x = 7,449.46 × 4,004.36
  4. Step 4: Simplify right side
    5,397.64x = 29,830,319.65
  5. Step 5: Solve for x
    x = 29,830,319.65/5,397.64
  6. Step 6: Final answer
    x = 5,526.55

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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.