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Finding the Fourth Proportional to 3,746.40, 5,613.84 and 2,009.76

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Solution

The fourth proportional to 3,746.40, 5,613.84 and 2,009.76 is: 3,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.40 : 5,613.84 = 2,009.76 : x
  2. Step 2: Convert to fraction form
    3,746.40/5,613.84 = 2,009.76/x
  3. Step 3: Cross multiply
    3,746.40x = 5,613.84 × 2,009.76
  4. Step 4: Simplify right side
    3,746.40x = 11,282,471.08
  5. Step 5: Solve for x
    x = 11,282,471.08/3,746.40
  6. Step 6: Final answer
    x = 3,011.55

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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.