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Finding the Fourth Proportional to 4,454.64, 6,686.28 and 3,642.84

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Solution

The fourth proportional to 4,454.64, 6,686.28 and 3,642.84 is: 5,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.64 : 6,686.28 = 3,642.84 : x
  2. Step 2: Convert to fraction form
    4,454.64/6,686.28 = 3,642.84/x
  3. Step 3: Cross multiply
    4,454.64x = 6,686.28 × 3,642.84
  4. Step 4: Simplify right side
    4,454.64x = 24,357,048.24
  5. Step 5: Solve for x
    x = 24,357,048.24/4,454.64
  6. Step 6: Final answer
    x = 5,467.79

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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.