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Finding the Fourth Proportional to 3,870.29, 5,343.21 and 2,547.84

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Solution

The fourth proportional to 3,870.29, 5,343.21 and 2,547.84 is: 3,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.29 : 5,343.21 = 2,547.84 : x
  2. Step 2: Convert to fraction form
    3,870.29/5,343.21 = 2,547.84/x
  3. Step 3: Cross multiply
    3,870.29x = 5,343.21 × 2,547.84
  4. Step 4: Simplify right side
    3,870.29x = 13,613,643.70
  5. Step 5: Solve for x
    x = 13,613,643.70/3,870.29
  6. Step 6: Final answer
    x = 3,517.47

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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.