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Finding the Fourth Proportional to 4,296.57, 6,444.87 and 2,347.71

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Solution

The fourth proportional to 4,296.57, 6,444.87 and 2,347.71 is: 3,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.57 : 6,444.87 = 2,347.71 : x
  2. Step 2: Convert to fraction form
    4,296.57/6,444.87 = 2,347.71/x
  3. Step 3: Cross multiply
    4,296.57x = 6,444.87 × 2,347.71
  4. Step 4: Simplify right side
    4,296.57x = 15,130,685.75
  5. Step 5: Solve for x
    x = 15,130,685.75/4,296.57
  6. Step 6: Final answer
    x = 3,521.57

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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.