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Finding the Fourth Proportional to 5,696.48, 7,860.87 and 4,203.85

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Solution

The fourth proportional to 5,696.48, 7,860.87 and 4,203.85 is: 5,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.48 : 7,860.87 = 4,203.85 : x
  2. Step 2: Convert to fraction form
    5,696.48/7,860.87 = 4,203.85/x
  3. Step 3: Cross multiply
    5,696.48x = 7,860.87 × 4,203.85
  4. Step 4: Simplify right side
    5,696.48x = 33,045,877.68
  5. Step 5: Solve for x
    x = 33,045,877.68/5,696.48
  6. Step 6: Final answer
    x = 5,801.11

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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.