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Finding the Fourth Proportional to 3,643.52, 5,465.58 and 1,178.74

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Solution

The fourth proportional to 3,643.52, 5,465.58 and 1,178.74 is: 1,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.52 : 5,465.58 = 1,178.74 : x
  2. Step 2: Convert to fraction form
    3,643.52/5,465.58 = 1,178.74/x
  3. Step 3: Cross multiply
    3,643.52x = 5,465.58 × 1,178.74
  4. Step 4: Simplify right side
    3,643.52x = 6,442,470.44
  5. Step 5: Solve for x
    x = 6,442,470.44/3,643.52
  6. Step 6: Final answer
    x = 1,768.20

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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.