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Finding the Fourth Proportional to 3,585.87, 5,378.77 and 1,120.71

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Solution

The fourth proportional to 3,585.87, 5,378.77 and 1,120.71 is: 1,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.87 : 5,378.77 = 1,120.71 : x
  2. Step 2: Convert to fraction form
    3,585.87/5,378.77 = 1,120.71/x
  3. Step 3: Cross multiply
    3,585.87x = 5,378.77 × 1,120.71
  4. Step 4: Simplify right side
    3,585.87x = 6,028,041.33
  5. Step 5: Solve for x
    x = 6,028,041.33/3,585.87
  6. Step 6: Final answer
    x = 1,681.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.