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Finding the Fourth Proportional to 3,527.64, 5,287.20 and 1,304.70

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Solution

The fourth proportional to 3,527.64, 5,287.20 and 1,304.70 is: 1,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.64 : 5,287.20 = 1,304.70 : x
  2. Step 2: Convert to fraction form
    3,527.64/5,287.20 = 1,304.70/x
  3. Step 3: Cross multiply
    3,527.64x = 5,287.20 × 1,304.70
  4. Step 4: Simplify right side
    3,527.64x = 6,898,209.84
  5. Step 5: Solve for x
    x = 6,898,209.84/3,527.64
  6. Step 6: Final answer
    x = 1,955.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.