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Finding the Fourth Proportional to 3,968.60, 5,476.98 and 2,200.16

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Solution

The fourth proportional to 3,968.60, 5,476.98 and 2,200.16 is: 3,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.60 : 5,476.98 = 2,200.16 : x
  2. Step 2: Convert to fraction form
    3,968.60/5,476.98 = 2,200.16/x
  3. Step 3: Cross multiply
    3,968.60x = 5,476.98 × 2,200.16
  4. Step 4: Simplify right side
    3,968.60x = 12,050,254.26
  5. Step 5: Solve for x
    x = 12,050,254.26/3,968.60
  6. Step 6: Final answer
    x = 3,036.40

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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.