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Finding the Fourth Proportional to 4,706.60, 6,538.70 and 4,663.78

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Solution

The fourth proportional to 4,706.60, 6,538.70 and 4,663.78 is: 6,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.60 : 6,538.70 = 4,663.78 : x
  2. Step 2: Convert to fraction form
    4,706.60/6,538.70 = 4,663.78/x
  3. Step 3: Cross multiply
    4,706.60x = 6,538.70 × 4,663.78
  4. Step 4: Simplify right side
    4,706.60x = 30,495,058.29
  5. Step 5: Solve for x
    x = 30,495,058.29/4,706.60
  6. Step 6: Final answer
    x = 6,479.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.