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Finding the Fourth Proportional to 3,527.34, 4,872.69 and 3,264.90

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Solution

The fourth proportional to 3,527.34, 4,872.69 and 3,264.90 is: 4,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.34 : 4,872.69 = 3,264.90 : x
  2. Step 2: Convert to fraction form
    3,527.34/4,872.69 = 3,264.90/x
  3. Step 3: Cross multiply
    3,527.34x = 4,872.69 × 3,264.90
  4. Step 4: Simplify right side
    3,527.34x = 15,908,845.58
  5. Step 5: Solve for x
    x = 15,908,845.58/3,527.34
  6. Step 6: Final answer
    x = 4,510.15

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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.