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Finding the Fourth Proportional to 5,698.64, 8,601.26 and 5,698.64

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Solution

The fourth proportional to 5,698.64, 8,601.26 and 5,698.64 is: 8,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.64 : 8,601.26 = 5,698.64 : x
  2. Step 2: Convert to fraction form
    5,698.64/8,601.26 = 5,698.64/x
  3. Step 3: Cross multiply
    5,698.64x = 8,601.26 × 5,698.64
  4. Step 4: Simplify right side
    5,698.64x = 49,015,484.29
  5. Step 5: Solve for x
    x = 49,015,484.29/5,698.64
  6. Step 6: Final answer
    x = 8,601.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.