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Finding the Fourth Proportional to 5,314.49, 7,972.47 and 2,352.70

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Solution

The fourth proportional to 5,314.49, 7,972.47 and 2,352.70 is: 3,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.49 : 7,972.47 = 2,352.70 : x
  2. Step 2: Convert to fraction form
    5,314.49/7,972.47 = 2,352.70/x
  3. Step 3: Cross multiply
    5,314.49x = 7,972.47 × 2,352.70
  4. Step 4: Simplify right side
    5,314.49x = 18,756,810.24
  5. Step 5: Solve for x
    x = 18,756,810.24/5,314.49
  6. Step 6: Final answer
    x = 3,529.37

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1.5x scale

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.