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Finding the Fourth Proportional to 3,472.74, 5,211.90 and 1,283.22

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Solution

The fourth proportional to 3,472.74, 5,211.90 and 1,283.22 is: 1,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.74 : 5,211.90 = 1,283.22 : x
  2. Step 2: Convert to fraction form
    3,472.74/5,211.90 = 1,283.22/x
  3. Step 3: Cross multiply
    3,472.74x = 5,211.90 × 1,283.22
  4. Step 4: Simplify right side
    3,472.74x = 6,688,014.32
  5. Step 5: Solve for x
    x = 6,688,014.32/3,472.74
  6. Step 6: Final answer
    x = 1,925.86

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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.