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Finding the Fourth Proportional to 3,566.40, 5,344.80 and 1,515.84

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Solution

The fourth proportional to 3,566.40, 5,344.80 and 1,515.84 is: 2,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.40 : 5,344.80 = 1,515.84 : x
  2. Step 2: Convert to fraction form
    3,566.40/5,344.80 = 1,515.84/x
  3. Step 3: Cross multiply
    3,566.40x = 5,344.80 × 1,515.84
  4. Step 4: Simplify right side
    3,566.40x = 8,101,861.63
  5. Step 5: Solve for x
    x = 8,101,861.63/3,566.40
  6. Step 6: Final answer
    x = 2,271.72

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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.