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Finding the Fourth Proportional to 5,002.80, 7,494.84 and 4,186.32

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Solution

The fourth proportional to 5,002.80, 7,494.84 and 4,186.32 is: 6,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.80 : 7,494.84 = 4,186.32 : x
  2. Step 2: Convert to fraction form
    5,002.80/7,494.84 = 4,186.32/x
  3. Step 3: Cross multiply
    5,002.80x = 7,494.84 × 4,186.32
  4. Step 4: Simplify right side
    5,002.80x = 31,375,798.59
  5. Step 5: Solve for x
    x = 31,375,798.59/5,002.80
  6. Step 6: Final answer
    x = 6,271.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.