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Finding the Fourth Proportional to 3,430.10, 5,145.06 and 964.86

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Solution

The fourth proportional to 3,430.10, 5,145.06 and 964.86 is: 1,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.10 : 5,145.06 = 964.86 : x
  2. Step 2: Convert to fraction form
    3,430.10/5,145.06 = 964.86/x
  3. Step 3: Cross multiply
    3,430.10x = 5,145.06 × 964.86
  4. Step 4: Simplify right side
    3,430.10x = 4,964,246.92
  5. Step 5: Solve for x
    x = 4,964,246.92/3,430.10
  6. Step 6: Final answer
    x = 1,447.26

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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.