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Finding the Fourth Proportional to 3,708.76, 5,115.54 and 2,646.40

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Solution

The fourth proportional to 3,708.76, 5,115.54 and 2,646.40 is: 3,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.76 : 5,115.54 = 2,646.40 : x
  2. Step 2: Convert to fraction form
    3,708.76/5,115.54 = 2,646.40/x
  3. Step 3: Cross multiply
    3,708.76x = 5,115.54 × 2,646.40
  4. Step 4: Simplify right side
    3,708.76x = 13,537,765.06
  5. Step 5: Solve for x
    x = 13,537,765.06/3,708.76
  6. Step 6: Final answer
    x = 3,650.21

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Half scale
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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.