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Finding the Fourth Proportional to 2,856.45, 4,010.55 and 2,856.45

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Solution

The fourth proportional to 2,856.45, 4,010.55 and 2,856.45 is: 4,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.45 : 4,010.55 = 2,856.45 : x
  2. Step 2: Convert to fraction form
    2,856.45/4,010.55 = 2,856.45/x
  3. Step 3: Cross multiply
    2,856.45x = 4,010.55 × 2,856.45
  4. Step 4: Simplify right side
    2,856.45x = 11,455,935.55
  5. Step 5: Solve for x
    x = 11,455,935.55/2,856.45
  6. Step 6: Final answer
    x = 4,010.55

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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.