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Finding the Fourth Proportional to 3,758.60, 5,633.40 and 1,566.20

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Solution

The fourth proportional to 3,758.60, 5,633.40 and 1,566.20 is: 2,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.60 : 5,633.40 = 1,566.20 : x
  2. Step 2: Convert to fraction form
    3,758.60/5,633.40 = 1,566.20/x
  3. Step 3: Cross multiply
    3,758.60x = 5,633.40 × 1,566.20
  4. Step 4: Simplify right side
    3,758.60x = 8,823,031.08
  5. Step 5: Solve for x
    x = 8,823,031.08/3,758.60
  6. Step 6: Final answer
    x = 2,347.42

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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.