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Finding the Fourth Proportional to 5,458.32, 7,530 and 3,220.20

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Solution

The fourth proportional to 5,458.32, 7,530 and 3,220.20 is: 4,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.32 : 7,530 = 3,220.20 : x
  2. Step 2: Convert to fraction form
    5,458.32/7,530 = 3,220.20/x
  3. Step 3: Cross multiply
    5,458.32x = 7,530 × 3,220.20
  4. Step 4: Simplify right side
    5,458.32x = 24,248,106
  5. Step 5: Solve for x
    x = 24,248,106/5,458.32
  6. Step 6: Final answer
    x = 4,442.41

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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.