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Finding the Fourth Proportional to 4,605.10, 6,909.10 and 2,963.50

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Solution

The fourth proportional to 4,605.10, 6,909.10 and 2,963.50 is: 4,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.10 : 6,909.10 = 2,963.50 : x
  2. Step 2: Convert to fraction form
    4,605.10/6,909.10 = 2,963.50/x
  3. Step 3: Cross multiply
    4,605.10x = 6,909.10 × 2,963.50
  4. Step 4: Simplify right side
    4,605.10x = 20,475,117.85
  5. Step 5: Solve for x
    x = 20,475,117.85/4,605.10
  6. Step 6: Final answer
    x = 4,446.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.