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Finding the Fourth Proportional to 3,873.65, 5,346.48 and 2,547.47

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Solution

The fourth proportional to 3,873.65, 5,346.48 and 2,547.47 is: 3,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.65 : 5,346.48 = 2,547.47 : x
  2. Step 2: Convert to fraction form
    3,873.65/5,346.48 = 2,547.47/x
  3. Step 3: Cross multiply
    3,873.65x = 5,346.48 × 2,547.47
  4. Step 4: Simplify right side
    3,873.65x = 13,620,010.77
  5. Step 5: Solve for x
    x = 13,620,010.77/3,873.65
  6. Step 6: Final answer
    x = 3,516.07

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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.