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Finding the Fourth Proportional to 3,707.70, 5,114.52 and 2,135.52

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Solution

The fourth proportional to 3,707.70, 5,114.52 and 2,135.52 is: 2,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.70 : 5,114.52 = 2,135.52 : x
  2. Step 2: Convert to fraction form
    3,707.70/5,114.52 = 2,135.52/x
  3. Step 3: Cross multiply
    3,707.70x = 5,114.52 × 2,135.52
  4. Step 4: Simplify right side
    3,707.70x = 10,922,159.75
  5. Step 5: Solve for x
    x = 10,922,159.75/3,707.70
  6. Step 6: Final answer
    x = 2,945.80

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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.