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Finding the Fourth Proportional to 5,337.80, 7,368 and 3,214.52

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Solution

The fourth proportional to 5,337.80, 7,368 and 3,214.52 is: 4,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.80 : 7,368 = 3,214.52 : x
  2. Step 2: Convert to fraction form
    5,337.80/7,368 = 3,214.52/x
  3. Step 3: Cross multiply
    5,337.80x = 7,368 × 3,214.52
  4. Step 4: Simplify right side
    5,337.80x = 23,684,583.36
  5. Step 5: Solve for x
    x = 23,684,583.36/5,337.80
  6. Step 6: Final answer
    x = 4,437.14

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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.