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Finding the Fourth Proportional to 5,809.32, 8,016.70 and 3,156.64

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Solution

The fourth proportional to 5,809.32, 8,016.70 and 3,156.64 is: 4,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.32 : 8,016.70 = 3,156.64 : x
  2. Step 2: Convert to fraction form
    5,809.32/8,016.70 = 3,156.64/x
  3. Step 3: Cross multiply
    5,809.32x = 8,016.70 × 3,156.64
  4. Step 4: Simplify right side
    5,809.32x = 25,305,835.89
  5. Step 5: Solve for x
    x = 25,305,835.89/5,809.32
  6. Step 6: Final answer
    x = 4,356.08

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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.