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Finding the Fourth Proportional to 3,746.34, 5,620.18 and 1,281.10

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Solution

The fourth proportional to 3,746.34, 5,620.18 and 1,281.10 is: 1,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.34 : 5,620.18 = 1,281.10 : x
  2. Step 2: Convert to fraction form
    3,746.34/5,620.18 = 1,281.10/x
  3. Step 3: Cross multiply
    3,746.34x = 5,620.18 × 1,281.10
  4. Step 4: Simplify right side
    3,746.34x = 7,200,012.60
  5. Step 5: Solve for x
    x = 7,200,012.60/3,746.34
  6. Step 6: Final answer
    x = 1,921.88

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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.