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Finding the Fourth Proportional to 5,642.32, 8,415.65 and 4,906.12

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Solution

The fourth proportional to 5,642.32, 8,415.65 and 4,906.12 is: 7,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.32 : 8,415.65 = 4,906.12 : x
  2. Step 2: Convert to fraction form
    5,642.32/8,415.65 = 4,906.12/x
  3. Step 3: Cross multiply
    5,642.32x = 8,415.65 × 4,906.12
  4. Step 4: Simplify right side
    5,642.32x = 41,288,188.78
  5. Step 5: Solve for x
    x = 41,288,188.78/5,642.32
  6. Step 6: Final answer
    x = 7,317.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.