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Finding the Fourth Proportional to 4,188.24, 5,766.60 and 3,557.46

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Solution

The fourth proportional to 4,188.24, 5,766.60 and 3,557.46 is: 4,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.24 : 5,766.60 = 3,557.46 : x
  2. Step 2: Convert to fraction form
    4,188.24/5,766.60 = 3,557.46/x
  3. Step 3: Cross multiply
    4,188.24x = 5,766.60 × 3,557.46
  4. Step 4: Simplify right side
    4,188.24x = 20,514,448.84
  5. Step 5: Solve for x
    x = 20,514,448.84/4,188.24
  6. Step 6: Final answer
    x = 4,898.11

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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.