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Finding the Fourth Proportional to 5,659.16, 7,809.03 and 3,140.60

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Solution

The fourth proportional to 5,659.16, 7,809.03 and 3,140.60 is: 4,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.16 : 7,809.03 = 3,140.60 : x
  2. Step 2: Convert to fraction form
    5,659.16/7,809.03 = 3,140.60/x
  3. Step 3: Cross multiply
    5,659.16x = 7,809.03 × 3,140.60
  4. Step 4: Simplify right side
    5,659.16x = 24,525,000.57
  5. Step 5: Solve for x
    x = 24,525,000.57/5,659.16
  6. Step 6: Final answer
    x = 4,333.69

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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.