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Finding the Fourth Proportional to 3,569.87, 4,925.98 and 2,078.06

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Solution

The fourth proportional to 3,569.87, 4,925.98 and 2,078.06 is: 2,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.87 : 4,925.98 = 2,078.06 : x
  2. Step 2: Convert to fraction form
    3,569.87/4,925.98 = 2,078.06/x
  3. Step 3: Cross multiply
    3,569.87x = 4,925.98 × 2,078.06
  4. Step 4: Simplify right side
    3,569.87x = 10,236,459.97
  5. Step 5: Solve for x
    x = 10,236,459.97/3,569.87
  6. Step 6: Final answer
    x = 2,867.46

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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.