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Finding the Fourth Proportional to 5,332.14, 7,357.77 and 3,757.50

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Solution

The fourth proportional to 5,332.14, 7,357.77 and 3,757.50 is: 5,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.14 : 7,357.77 = 3,757.50 : x
  2. Step 2: Convert to fraction form
    5,332.14/7,357.77 = 3,757.50/x
  3. Step 3: Cross multiply
    5,332.14x = 7,357.77 × 3,757.50
  4. Step 4: Simplify right side
    5,332.14x = 27,646,820.78
  5. Step 5: Solve for x
    x = 27,646,820.78/5,332.14
  6. Step 6: Final answer
    x = 5,184.94

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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.