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Finding the Fourth Proportional to 4,570.70, 6,301.69 and 3,749.11

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Solution

The fourth proportional to 4,570.70, 6,301.69 and 3,749.11 is: 5,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.70 : 6,301.69 = 3,749.11 : x
  2. Step 2: Convert to fraction form
    4,570.70/6,301.69 = 3,749.11/x
  3. Step 3: Cross multiply
    4,570.70x = 6,301.69 × 3,749.11
  4. Step 4: Simplify right side
    4,570.70x = 23,625,678.74
  5. Step 5: Solve for x
    x = 23,625,678.74/4,570.70
  6. Step 6: Final answer
    x = 5,168.95

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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.