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Finding the Fourth Proportional to 4,699.60, 6,478.51 and 3,702.89

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Solution

The fourth proportional to 4,699.60, 6,478.51 and 3,702.89 is: 5,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.60 : 6,478.51 = 3,702.89 : x
  2. Step 2: Convert to fraction form
    4,699.60/6,478.51 = 3,702.89/x
  3. Step 3: Cross multiply
    4,699.60x = 6,478.51 × 3,702.89
  4. Step 4: Simplify right side
    4,699.60x = 23,989,209.89
  5. Step 5: Solve for x
    x = 23,989,209.89/4,699.60
  6. Step 6: Final answer
    x = 5,104.52

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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.