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Finding the Fourth Proportional to 3,440.62, 5,160.93 and 975.45

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Solution

The fourth proportional to 3,440.62, 5,160.93 and 975.45 is: 1,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.62 : 5,160.93 = 975.45 : x
  2. Step 2: Convert to fraction form
    3,440.62/5,160.93 = 975.45/x
  3. Step 3: Cross multiply
    3,440.62x = 5,160.93 × 975.45
  4. Step 4: Simplify right side
    3,440.62x = 5,034,229.17
  5. Step 5: Solve for x
    x = 5,034,229.17/3,440.62
  6. Step 6: Final answer
    x = 1,463.18

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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.