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Finding the Fourth Proportional to 5,642.15, 8,422.83 and 4,904.24

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Solution

The fourth proportional to 5,642.15, 8,422.83 and 4,904.24 is: 7,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.15 : 8,422.83 = 4,904.24 : x
  2. Step 2: Convert to fraction form
    5,642.15/8,422.83 = 4,904.24/x
  3. Step 3: Cross multiply
    5,642.15x = 8,422.83 × 4,904.24
  4. Step 4: Simplify right side
    5,642.15x = 41,307,537.69
  5. Step 5: Solve for x
    x = 41,307,537.69/5,642.15
  6. Step 6: Final answer
    x = 7,321.25

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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.