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Finding the Fourth Proportional to 5,144.32, 7,710.28 and 2,367.19

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Solution

The fourth proportional to 5,144.32, 7,710.28 and 2,367.19 is: 3,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.32 : 7,710.28 = 2,367.19 : x
  2. Step 2: Convert to fraction form
    5,144.32/7,710.28 = 2,367.19/x
  3. Step 3: Cross multiply
    5,144.32x = 7,710.28 × 2,367.19
  4. Step 4: Simplify right side
    5,144.32x = 18,251,697.71
  5. Step 5: Solve for x
    x = 18,251,697.71/5,144.32
  6. Step 6: Final answer
    x = 3,547.93

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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.