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Finding the Fourth Proportional to 3,430.02, 5,144.61 and 964.59

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Solution

The fourth proportional to 3,430.02, 5,144.61 and 964.59 is: 1,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.02 : 5,144.61 = 964.59 : x
  2. Step 2: Convert to fraction form
    3,430.02/5,144.61 = 964.59/x
  3. Step 3: Cross multiply
    3,430.02x = 5,144.61 × 964.59
  4. Step 4: Simplify right side
    3,430.02x = 4,962,439.36
  5. Step 5: Solve for x
    x = 4,962,439.36/3,430.02
  6. Step 6: Final answer
    x = 1,446.77

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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.