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Finding the Fourth Proportional to 4,606.19, 6,909.29 and 1,143.44

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Solution

The fourth proportional to 4,606.19, 6,909.29 and 1,143.44 is: 1,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.19 : 6,909.29 = 1,143.44 : x
  2. Step 2: Convert to fraction form
    4,606.19/6,909.29 = 1,143.44/x
  3. Step 3: Cross multiply
    4,606.19x = 6,909.29 × 1,143.44
  4. Step 4: Simplify right side
    4,606.19x = 7,900,358.56
  5. Step 5: Solve for x
    x = 7,900,358.56/4,606.19
  6. Step 6: Final answer
    x = 1,715.16

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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.