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Finding the Fourth Proportional to 4,264.65, 5,888.12 and 2,671.96

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Solution

The fourth proportional to 4,264.65, 5,888.12 and 2,671.96 is: 3,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.65 : 5,888.12 = 2,671.96 : x
  2. Step 2: Convert to fraction form
    4,264.65/5,888.12 = 2,671.96/x
  3. Step 3: Cross multiply
    4,264.65x = 5,888.12 × 2,671.96
  4. Step 4: Simplify right side
    4,264.65x = 15,732,821.12
  5. Step 5: Solve for x
    x = 15,732,821.12/4,264.65
  6. Step 6: Final answer
    x = 3,689.12

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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.