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Finding the Fourth Proportional to 4,088.85, 5,650.29 and 3,342.54

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Solution

The fourth proportional to 4,088.85, 5,650.29 and 3,342.54 is: 4,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.85 : 5,650.29 = 3,342.54 : x
  2. Step 2: Convert to fraction form
    4,088.85/5,650.29 = 3,342.54/x
  3. Step 3: Cross multiply
    4,088.85x = 5,650.29 × 3,342.54
  4. Step 4: Simplify right side
    4,088.85x = 18,886,320.34
  5. Step 5: Solve for x
    x = 18,886,320.34/4,088.85
  6. Step 6: Final answer
    x = 4,618.98

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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.