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Finding the Fourth Proportional to 3,527.40, 5,283.78 and 1,580.97

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Solution

The fourth proportional to 3,527.40, 5,283.78 and 1,580.97 is: 2,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.40 : 5,283.78 = 1,580.97 : x
  2. Step 2: Convert to fraction form
    3,527.40/5,283.78 = 1,580.97/x
  3. Step 3: Cross multiply
    3,527.40x = 5,283.78 × 1,580.97
  4. Step 4: Simplify right side
    3,527.40x = 8,353,497.67
  5. Step 5: Solve for x
    x = 8,353,497.67/3,527.40
  6. Step 6: Final answer
    x = 2,368.17

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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.