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Finding the Fourth Proportional to 5,438.32, 7,498.24 and 4,597.52

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Solution

The fourth proportional to 5,438.32, 7,498.24 and 4,597.52 is: 6,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.32 : 7,498.24 = 4,597.52 : x
  2. Step 2: Convert to fraction form
    5,438.32/7,498.24 = 4,597.52/x
  3. Step 3: Cross multiply
    5,438.32x = 7,498.24 × 4,597.52
  4. Step 4: Simplify right side
    5,438.32x = 34,473,308.36
  5. Step 5: Solve for x
    x = 34,473,308.36/5,438.32
  6. Step 6: Final answer
    x = 6,338.96

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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.