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Finding the Fourth Proportional to 3,509.76, 4,843.68 and 2,017.92

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Solution

The fourth proportional to 3,509.76, 4,843.68 and 2,017.92 is: 2,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.76 : 4,843.68 = 2,017.92 : x
  2. Step 2: Convert to fraction form
    3,509.76/4,843.68 = 2,017.92/x
  3. Step 3: Cross multiply
    3,509.76x = 4,843.68 × 2,017.92
  4. Step 4: Simplify right side
    3,509.76x = 9,774,158.75
  5. Step 5: Solve for x
    x = 9,774,158.75/3,509.76
  6. Step 6: Final answer
    x = 2,784.85

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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.