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Finding the Fourth Proportional to 4,804.38, 7,208.70 and 2,032.97

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Solution

The fourth proportional to 4,804.38, 7,208.70 and 2,032.97 is: 3,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.38 : 7,208.70 = 2,032.97 : x
  2. Step 2: Convert to fraction form
    4,804.38/7,208.70 = 2,032.97/x
  3. Step 3: Cross multiply
    4,804.38x = 7,208.70 × 2,032.97
  4. Step 4: Simplify right side
    4,804.38x = 14,655,027.17
  5. Step 5: Solve for x
    x = 14,655,027.17/4,804.38
  6. Step 6: Final answer
    x = 3,050.35

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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.