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Finding the Fourth Proportional to 5,242.83, 7,235.24 and 2,852.94

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Solution

The fourth proportional to 5,242.83, 7,235.24 and 2,852.94 is: 3,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.83 : 7,235.24 = 2,852.94 : x
  2. Step 2: Convert to fraction form
    5,242.83/7,235.24 = 2,852.94/x
  3. Step 3: Cross multiply
    5,242.83x = 7,235.24 × 2,852.94
  4. Step 4: Simplify right side
    5,242.83x = 20,641,705.61
  5. Step 5: Solve for x
    x = 20,641,705.61/5,242.83
  6. Step 6: Final answer
    x = 3,937.13

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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.