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Finding the Fourth Proportional to 5,178.16, 7,767.32 and 2,884.24

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Solution

The fourth proportional to 5,178.16, 7,767.32 and 2,884.24 is: 4,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.16 : 7,767.32 = 2,884.24 : x
  2. Step 2: Convert to fraction form
    5,178.16/7,767.32 = 2,884.24/x
  3. Step 3: Cross multiply
    5,178.16x = 7,767.32 × 2,884.24
  4. Step 4: Simplify right side
    5,178.16x = 22,402,815.04
  5. Step 5: Solve for x
    x = 22,402,815.04/5,178.16
  6. Step 6: Final answer
    x = 4,326.40

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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.