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Finding the Fourth Proportional to 3,430.76, 5,145.83 and 931.85

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Solution

The fourth proportional to 3,430.76, 5,145.83 and 931.85 is: 1,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.76 : 5,145.83 = 931.85 : x
  2. Step 2: Convert to fraction form
    3,430.76/5,145.83 = 931.85/x
  3. Step 3: Cross multiply
    3,430.76x = 5,145.83 × 931.85
  4. Step 4: Simplify right side
    3,430.76x = 4,795,111.30
  5. Step 5: Solve for x
    x = 4,795,111.30/3,430.76
  6. Step 6: Final answer
    x = 1,397.68

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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.