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Finding the Fourth Proportional to 4,352.32, 6,522 and 1,753.84

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Solution

The fourth proportional to 4,352.32, 6,522 and 1,753.84 is: 2,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.32 : 6,522 = 1,753.84 : x
  2. Step 2: Convert to fraction form
    4,352.32/6,522 = 1,753.84/x
  3. Step 3: Cross multiply
    4,352.32x = 6,522 × 1,753.84
  4. Step 4: Simplify right side
    4,352.32x = 11,438,544.48
  5. Step 5: Solve for x
    x = 11,438,544.48/4,352.32
  6. Step 6: Final answer
    x = 2,628.15

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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.