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Finding the Fourth Proportional to 5,979.66, 8,969.51 and 2,899.50

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Solution

The fourth proportional to 5,979.66, 8,969.51 and 2,899.50 is: 4,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.66 : 8,969.51 = 2,899.50 : x
  2. Step 2: Convert to fraction form
    5,979.66/8,969.51 = 2,899.50/x
  3. Step 3: Cross multiply
    5,979.66x = 8,969.51 × 2,899.50
  4. Step 4: Simplify right side
    5,979.66x = 26,007,094.25
  5. Step 5: Solve for x
    x = 26,007,094.25/5,979.66
  6. Step 6: Final answer
    x = 4,349.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.