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Finding the Fourth Proportional to 4,672.61, 6,448.24 and 2,683.14

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Solution

The fourth proportional to 4,672.61, 6,448.24 and 2,683.14 is: 3,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.61 : 6,448.24 = 2,683.14 : x
  2. Step 2: Convert to fraction form
    4,672.61/6,448.24 = 2,683.14/x
  3. Step 3: Cross multiply
    4,672.61x = 6,448.24 × 2,683.14
  4. Step 4: Simplify right side
    4,672.61x = 17,301,530.67
  5. Step 5: Solve for x
    x = 17,301,530.67/4,672.61
  6. Step 6: Final answer
    x = 3,702.76

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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.