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Finding the Fourth Proportional to 4,642.24, 6,963.84 and 1,564.48

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Solution

The fourth proportional to 4,642.24, 6,963.84 and 1,564.48 is: 2,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.24 : 6,963.84 = 1,564.48 : x
  2. Step 2: Convert to fraction form
    4,642.24/6,963.84 = 1,564.48/x
  3. Step 3: Cross multiply
    4,642.24x = 6,963.84 × 1,564.48
  4. Step 4: Simplify right side
    4,642.24x = 10,894,788.40
  5. Step 5: Solve for x
    x = 10,894,788.40/4,642.24
  6. Step 6: Final answer
    x = 2,346.88

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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.