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Finding the Fourth Proportional to 5,208.08, 7,184.04 and 4,508.24

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Solution

The fourth proportional to 5,208.08, 7,184.04 and 4,508.24 is: 6,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.08 : 7,184.04 = 4,508.24 : x
  2. Step 2: Convert to fraction form
    5,208.08/7,184.04 = 4,508.24/x
  3. Step 3: Cross multiply
    5,208.08x = 7,184.04 × 4,508.24
  4. Step 4: Simplify right side
    5,208.08x = 32,387,376.49
  5. Step 5: Solve for x
    x = 32,387,376.49/5,208.08
  6. Step 6: Final answer
    x = 6,218.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.