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Finding the Fourth Proportional to 5,309.57, 7,329.20 and 4,560.53

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Solution

The fourth proportional to 5,309.57, 7,329.20 and 4,560.53 is: 6,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.57 : 7,329.20 = 4,560.53 : x
  2. Step 2: Convert to fraction form
    5,309.57/7,329.20 = 4,560.53/x
  3. Step 3: Cross multiply
    5,309.57x = 7,329.20 × 4,560.53
  4. Step 4: Simplify right side
    5,309.57x = 33,424,977.03
  5. Step 5: Solve for x
    x = 33,424,977.03/5,309.57
  6. Step 6: Final answer
    x = 6,295.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.