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Finding the Fourth Proportional to 4,246.94, 5,842.14 and 4,005.02

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Solution

The fourth proportional to 4,246.94, 5,842.14 and 4,005.02 is: 5,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.94 : 5,842.14 = 4,005.02 : x
  2. Step 2: Convert to fraction form
    4,246.94/5,842.14 = 4,005.02/x
  3. Step 3: Cross multiply
    4,246.94x = 5,842.14 × 4,005.02
  4. Step 4: Simplify right side
    4,246.94x = 23,397,887.54
  5. Step 5: Solve for x
    x = 23,397,887.54/4,246.94
  6. Step 6: Final answer
    x = 5,509.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.