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Finding the Fourth Proportional to 5,314.95, 7,972.71 and 1,616.89

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Solution

The fourth proportional to 5,314.95, 7,972.71 and 1,616.89 is: 2,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.95 : 7,972.71 = 1,616.89 : x
  2. Step 2: Convert to fraction form
    5,314.95/7,972.71 = 1,616.89/x
  3. Step 3: Cross multiply
    5,314.95x = 7,972.71 × 1,616.89
  4. Step 4: Simplify right side
    5,314.95x = 12,890,995.07
  5. Step 5: Solve for x
    x = 12,890,995.07/5,314.95
  6. Step 6: Final answer
    x = 2,425.42

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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.