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Finding the Fourth Proportional to 5,440.86, 7,506.54 and 3,202.02

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Solution

The fourth proportional to 5,440.86, 7,506.54 and 3,202.02 is: 4,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.86 : 7,506.54 = 3,202.02 : x
  2. Step 2: Convert to fraction form
    5,440.86/7,506.54 = 3,202.02/x
  3. Step 3: Cross multiply
    5,440.86x = 7,506.54 × 3,202.02
  4. Step 4: Simplify right side
    5,440.86x = 24,036,091.21
  5. Step 5: Solve for x
    x = 24,036,091.21/5,440.86
  6. Step 6: Final answer
    x = 4,417.70

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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.