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Finding the Fourth Proportional to 3,865.70, 5,798.55 and 2,221.40

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Solution

The fourth proportional to 3,865.70, 5,798.55 and 2,221.40 is: 3,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.70 : 5,798.55 = 2,221.40 : x
  2. Step 2: Convert to fraction form
    3,865.70/5,798.55 = 2,221.40/x
  3. Step 3: Cross multiply
    3,865.70x = 5,798.55 × 2,221.40
  4. Step 4: Simplify right side
    3,865.70x = 12,880,898.97
  5. Step 5: Solve for x
    x = 12,880,898.97/3,865.70
  6. Step 6: Final answer
    x = 3,332.10

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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.