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Finding the Fourth Proportional to 4,243.60, 5,856.06 and 2,475.64

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Solution

The fourth proportional to 4,243.60, 5,856.06 and 2,475.64 is: 3,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.60 : 5,856.06 = 2,475.64 : x
  2. Step 2: Convert to fraction form
    4,243.60/5,856.06 = 2,475.64/x
  3. Step 3: Cross multiply
    4,243.60x = 5,856.06 × 2,475.64
  4. Step 4: Simplify right side
    4,243.60x = 14,497,496.38
  5. Step 5: Solve for x
    x = 14,497,496.38/4,243.60
  6. Step 6: Final answer
    x = 3,416.32

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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.