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Finding the Fourth Proportional to 3,572.64, 4,932.65 and 2,228.77

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Solution

The fourth proportional to 3,572.64, 4,932.65 and 2,228.77 is: 3,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.64 : 4,932.65 = 2,228.77 : x
  2. Step 2: Convert to fraction form
    3,572.64/4,932.65 = 2,228.77/x
  3. Step 3: Cross multiply
    3,572.64x = 4,932.65 × 2,228.77
  4. Step 4: Simplify right side
    3,572.64x = 10,993,742.34
  5. Step 5: Solve for x
    x = 10,993,742.34/3,572.64
  6. Step 6: Final answer
    x = 3,077.20

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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.