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Finding the Fourth Proportional to 4,641.20, 6,405 and 2,651.64

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Solution

The fourth proportional to 4,641.20, 6,405 and 2,651.64 is: 3,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.20 : 6,405 = 2,651.64 : x
  2. Step 2: Convert to fraction form
    4,641.20/6,405 = 2,651.64/x
  3. Step 3: Cross multiply
    4,641.20x = 6,405 × 2,651.64
  4. Step 4: Simplify right side
    4,641.20x = 16,983,754.20
  5. Step 5: Solve for x
    x = 16,983,754.20/4,641.20
  6. Step 6: Final answer
    x = 3,659.35

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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.