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Finding the Fourth Proportional to 3,650.60, 5,038.35 and 2,078.84

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Solution

The fourth proportional to 3,650.60, 5,038.35 and 2,078.84 is: 2,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.60 : 5,038.35 = 2,078.84 : x
  2. Step 2: Convert to fraction form
    3,650.60/5,038.35 = 2,078.84/x
  3. Step 3: Cross multiply
    3,650.60x = 5,038.35 × 2,078.84
  4. Step 4: Simplify right side
    3,650.60x = 10,473,923.51
  5. Step 5: Solve for x
    x = 10,473,923.51/3,650.60
  6. Step 6: Final answer
    x = 2,869.10

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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.