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Finding the Fourth Proportional to 6,001.12, 8,285 and 4,018.24

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Solution

The fourth proportional to 6,001.12, 8,285 and 4,018.24 is: 5,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.12 : 8,285 = 4,018.24 : x
  2. Step 2: Convert to fraction form
    6,001.12/8,285 = 4,018.24/x
  3. Step 3: Cross multiply
    6,001.12x = 8,285 × 4,018.24
  4. Step 4: Simplify right side
    6,001.12x = 33,291,118.40
  5. Step 5: Solve for x
    x = 33,291,118.40/6,001.12
  6. Step 6: Final answer
    x = 5,547.48

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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.