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Finding the Fourth Proportional to 3,585.76, 4,948.08 and 2,013.76

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Solution

The fourth proportional to 3,585.76, 4,948.08 and 2,013.76 is: 2,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.76 : 4,948.08 = 2,013.76 : x
  2. Step 2: Convert to fraction form
    3,585.76/4,948.08 = 2,013.76/x
  3. Step 3: Cross multiply
    3,585.76x = 4,948.08 × 2,013.76
  4. Step 4: Simplify right side
    3,585.76x = 9,964,245.58
  5. Step 5: Solve for x
    x = 9,964,245.58/3,585.76
  6. Step 6: Final answer
    x = 2,778.84

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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.