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Finding the Fourth Proportional to 4,422, 6,632.48 and 1,135.16

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Solution

The fourth proportional to 4,422, 6,632.48 and 1,135.16 is: 1,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422 : 6,632.48 = 1,135.16 : x
  2. Step 2: Convert to fraction form
    4,422/6,632.48 = 1,135.16/x
  3. Step 3: Cross multiply
    4,422x = 6,632.48 × 1,135.16
  4. Step 4: Simplify right side
    4,422x = 7,528,926.00
  5. Step 5: Solve for x
    x = 7,528,926.00/4,422
  6. Step 6: Final answer
    x = 1,702.61

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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.