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Finding the Fourth Proportional to 5,774.74, 8,656.90 and 2,076.10

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Solution

The fourth proportional to 5,774.74, 8,656.90 and 2,076.10 is: 3,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.74 : 8,656.90 = 2,076.10 : x
  2. Step 2: Convert to fraction form
    5,774.74/8,656.90 = 2,076.10/x
  3. Step 3: Cross multiply
    5,774.74x = 8,656.90 × 2,076.10
  4. Step 4: Simplify right side
    5,774.74x = 17,972,590.09
  5. Step 5: Solve for x
    x = 17,972,590.09/5,774.74
  6. Step 6: Final answer
    x = 3,112.28

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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.