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Finding the Fourth Proportional to 5,659.56, 7,807.08 and 3,980.28

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Solution

The fourth proportional to 5,659.56, 7,807.08 and 3,980.28 is: 5,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.56 : 7,807.08 = 3,980.28 : x
  2. Step 2: Convert to fraction form
    5,659.56/7,807.08 = 3,980.28/x
  3. Step 3: Cross multiply
    5,659.56x = 7,807.08 × 3,980.28
  4. Step 4: Simplify right side
    5,659.56x = 31,074,364.38
  5. Step 5: Solve for x
    x = 31,074,364.38/5,659.56
  6. Step 6: Final answer
    x = 5,490.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.