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Finding the Fourth Proportional to 4,672.78, 6,448.20 and 2,683.24

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Solution

The fourth proportional to 4,672.78, 6,448.20 and 2,683.24 is: 3,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.78 : 6,448.20 = 2,683.24 : x
  2. Step 2: Convert to fraction form
    4,672.78/6,448.20 = 2,683.24/x
  3. Step 3: Cross multiply
    4,672.78x = 6,448.20 × 2,683.24
  4. Step 4: Simplify right side
    4,672.78x = 17,302,068.17
  5. Step 5: Solve for x
    x = 17,302,068.17/4,672.78
  6. Step 6: Final answer
    x = 3,702.74

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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.