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Finding the Fourth Proportional to 3,374.72, 5,062.06 and 909.78

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Solution

The fourth proportional to 3,374.72, 5,062.06 and 909.78 is: 1,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.72 : 5,062.06 = 909.78 : x
  2. Step 2: Convert to fraction form
    3,374.72/5,062.06 = 909.78/x
  3. Step 3: Cross multiply
    3,374.72x = 5,062.06 × 909.78
  4. Step 4: Simplify right side
    3,374.72x = 4,605,385.81
  5. Step 5: Solve for x
    x = 4,605,385.81/3,374.72
  6. Step 6: Final answer
    x = 1,364.67

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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.