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Finding the Fourth Proportional to 5,798.24, 8,002.02 and 3,280.64

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Solution

The fourth proportional to 5,798.24, 8,002.02 and 3,280.64 is: 4,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.24 : 8,002.02 = 3,280.64 : x
  2. Step 2: Convert to fraction form
    5,798.24/8,002.02 = 3,280.64/x
  3. Step 3: Cross multiply
    5,798.24x = 8,002.02 × 3,280.64
  4. Step 4: Simplify right side
    5,798.24x = 26,251,746.89
  5. Step 5: Solve for x
    x = 26,251,746.89/5,798.24
  6. Step 6: Final answer
    x = 4,527.54

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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.