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Finding the Fourth Proportional to 3,873.64, 5,344.74 and 2,547.56

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Solution

The fourth proportional to 3,873.64, 5,344.74 and 2,547.56 is: 3,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.64 : 5,344.74 = 2,547.56 : x
  2. Step 2: Convert to fraction form
    3,873.64/5,344.74 = 2,547.56/x
  3. Step 3: Cross multiply
    3,873.64x = 5,344.74 × 2,547.56
  4. Step 4: Simplify right side
    3,873.64x = 13,616,045.83
  5. Step 5: Solve for x
    x = 13,616,045.83/3,873.64
  6. Step 6: Final answer
    x = 3,515.05

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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.