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Finding the Fourth Proportional to 5,738.40, 8,588.40 and 4,010.40

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Solution

The fourth proportional to 5,738.40, 8,588.40 and 4,010.40 is: 6,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.40 : 8,588.40 = 4,010.40 : x
  2. Step 2: Convert to fraction form
    5,738.40/8,588.40 = 4,010.40/x
  3. Step 3: Cross multiply
    5,738.40x = 8,588.40 × 4,010.40
  4. Step 4: Simplify right side
    5,738.40x = 34,442,919.36
  5. Step 5: Solve for x
    x = 34,442,919.36/5,738.40
  6. Step 6: Final answer
    x = 6,002.18

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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.