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Finding the Fourth Proportional to 3,440.60, 5,159.92 and 975.67

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Solution

The fourth proportional to 3,440.60, 5,159.92 and 975.67 is: 1,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.60 : 5,159.92 = 975.67 : x
  2. Step 2: Convert to fraction form
    3,440.60/5,159.92 = 975.67/x
  3. Step 3: Cross multiply
    3,440.60x = 5,159.92 × 975.67
  4. Step 4: Simplify right side
    3,440.60x = 5,034,379.15
  5. Step 5: Solve for x
    x = 5,034,379.15/3,440.60
  6. Step 6: Final answer
    x = 1,463.23

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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.