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Finding the Fourth Proportional to 4,856.30, 6,816.10 and 4,856.30

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Solution

The fourth proportional to 4,856.30, 6,816.10 and 4,856.30 is: 6,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.30 : 6,816.10 = 4,856.30 : x
  2. Step 2: Convert to fraction form
    4,856.30/6,816.10 = 4,856.30/x
  3. Step 3: Cross multiply
    4,856.30x = 6,816.10 × 4,856.30
  4. Step 4: Simplify right side
    4,856.30x = 33,101,026.43
  5. Step 5: Solve for x
    x = 33,101,026.43/4,856.30
  6. Step 6: Final answer
    x = 6,816.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.