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Finding the Fourth Proportional to 4,644.32, 6,966.48 and 4,373.84

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Solution

The fourth proportional to 4,644.32, 6,966.48 and 4,373.84 is: 6,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.32 : 6,966.48 = 4,373.84 : x
  2. Step 2: Convert to fraction form
    4,644.32/6,966.48 = 4,373.84/x
  3. Step 3: Cross multiply
    4,644.32x = 6,966.48 × 4,373.84
  4. Step 4: Simplify right side
    4,644.32x = 30,470,268.88
  5. Step 5: Solve for x
    x = 30,470,268.88/4,644.32
  6. Step 6: Final answer
    x = 6,560.76

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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.