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Finding the Fourth Proportional to 3,547.80, 4,885.52 and 2,427.57

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Solution

The fourth proportional to 3,547.80, 4,885.52 and 2,427.57 is: 3,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.80 : 4,885.52 = 2,427.57 : x
  2. Step 2: Convert to fraction form
    3,547.80/4,885.52 = 2,427.57/x
  3. Step 3: Cross multiply
    3,547.80x = 4,885.52 × 2,427.57
  4. Step 4: Simplify right side
    3,547.80x = 11,859,929.65
  5. Step 5: Solve for x
    x = 11,859,929.65/3,547.80
  6. Step 6: Final answer
    x = 3,342.90

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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.