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Finding the Fourth Proportional to 5,832.06, 8,748.06 and 4,856.10

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Solution

The fourth proportional to 5,832.06, 8,748.06 and 4,856.10 is: 7,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.06 : 8,748.06 = 4,856.10 : x
  2. Step 2: Convert to fraction form
    5,832.06/8,748.06 = 4,856.10/x
  3. Step 3: Cross multiply
    5,832.06x = 8,748.06 × 4,856.10
  4. Step 4: Simplify right side
    5,832.06x = 42,481,454.17
  5. Step 5: Solve for x
    x = 42,481,454.17/5,832.06
  6. Step 6: Final answer
    x = 7,284.13

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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.