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Finding the Fourth Proportional to 5,303.20, 7,308.12 and 5,218.24

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Solution

The fourth proportional to 5,303.20, 7,308.12 and 5,218.24 is: 7,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.20 : 7,308.12 = 5,218.24 : x
  2. Step 2: Convert to fraction form
    5,303.20/7,308.12 = 5,218.24/x
  3. Step 3: Cross multiply
    5,303.20x = 7,308.12 × 5,218.24
  4. Step 4: Simplify right side
    5,303.20x = 38,135,524.11
  5. Step 5: Solve for x
    x = 38,135,524.11/5,303.20
  6. Step 6: Final answer
    x = 7,191.04

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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.