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Finding the Fourth Proportional to 3,650.64, 5,038.05 and 2,078.70

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Solution

The fourth proportional to 3,650.64, 5,038.05 and 2,078.70 is: 2,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.64 : 5,038.05 = 2,078.70 : x
  2. Step 2: Convert to fraction form
    3,650.64/5,038.05 = 2,078.70/x
  3. Step 3: Cross multiply
    3,650.64x = 5,038.05 × 2,078.70
  4. Step 4: Simplify right side
    3,650.64x = 10,472,594.54
  5. Step 5: Solve for x
    x = 10,472,594.54/3,650.64
  6. Step 6: Final answer
    x = 2,868.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.