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Finding the Fourth Proportional to 5,063.68, 6,987.72 and 2,969.20

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Solution

The fourth proportional to 5,063.68, 6,987.72 and 2,969.20 is: 4,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.68 : 6,987.72 = 2,969.20 : x
  2. Step 2: Convert to fraction form
    5,063.68/6,987.72 = 2,969.20/x
  3. Step 3: Cross multiply
    5,063.68x = 6,987.72 × 2,969.20
  4. Step 4: Simplify right side
    5,063.68x = 20,747,938.22
  5. Step 5: Solve for x
    x = 20,747,938.22/5,063.68
  6. Step 6: Final answer
    x = 4,097.40

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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.