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Finding the Fourth Proportional to 5,659.77, 7,809.98 and 3,141.31

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Solution

The fourth proportional to 5,659.77, 7,809.98 and 3,141.31 is: 4,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.77 : 7,809.98 = 3,141.31 : x
  2. Step 2: Convert to fraction form
    5,659.77/7,809.98 = 3,141.31/x
  3. Step 3: Cross multiply
    5,659.77x = 7,809.98 × 3,141.31
  4. Step 4: Simplify right side
    5,659.77x = 24,533,547.81
  5. Step 5: Solve for x
    x = 24,533,547.81/5,659.77
  6. Step 6: Final answer
    x = 4,334.72

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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.