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Finding the Fourth Proportional to 3,585.64, 4,948.12 and 2,013.72

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Solution

The fourth proportional to 3,585.64, 4,948.12 and 2,013.72 is: 2,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.64 : 4,948.12 = 2,013.72 : x
  2. Step 2: Convert to fraction form
    3,585.64/4,948.12 = 2,013.72/x
  3. Step 3: Cross multiply
    3,585.64x = 4,948.12 × 2,013.72
  4. Step 4: Simplify right side
    3,585.64x = 9,964,128.21
  5. Step 5: Solve for x
    x = 9,964,128.21/3,585.64
  6. Step 6: Final answer
    x = 2,778.90

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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.