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Finding the Fourth Proportional to 5,809.70, 8,017.46 and 3,157.15

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Solution

The fourth proportional to 5,809.70, 8,017.46 and 3,157.15 is: 4,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.70 : 8,017.46 = 3,157.15 : x
  2. Step 2: Convert to fraction form
    5,809.70/8,017.46 = 3,157.15/x
  3. Step 3: Cross multiply
    5,809.70x = 8,017.46 × 3,157.15
  4. Step 4: Simplify right side
    5,809.70x = 25,312,323.84
  5. Step 5: Solve for x
    x = 25,312,323.84/5,809.70
  6. Step 6: Final answer
    x = 4,356.91

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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.