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Finding the Fourth Proportional to 4,266.70, 5,888 and 2,378.18

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Solution

The fourth proportional to 4,266.70, 5,888 and 2,378.18 is: 3,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.70 : 5,888 = 2,378.18 : x
  2. Step 2: Convert to fraction form
    4,266.70/5,888 = 2,378.18/x
  3. Step 3: Cross multiply
    4,266.70x = 5,888 × 2,378.18
  4. Step 4: Simplify right side
    4,266.70x = 14,002,723.84
  5. Step 5: Solve for x
    x = 14,002,723.84/4,266.70
  6. Step 6: Final answer
    x = 3,281.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.