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Finding the Fourth Proportional to 5,116.32, 7,665.48 and 3,647.88

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Solution

The fourth proportional to 5,116.32, 7,665.48 and 3,647.88 is: 5,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.32 : 7,665.48 = 3,647.88 : x
  2. Step 2: Convert to fraction form
    5,116.32/7,665.48 = 3,647.88/x
  3. Step 3: Cross multiply
    5,116.32x = 7,665.48 × 3,647.88
  4. Step 4: Simplify right side
    5,116.32x = 27,962,751.18
  5. Step 5: Solve for x
    x = 27,962,751.18/5,116.32
  6. Step 6: Final answer
    x = 5,465.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.