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Finding the Fourth Proportional to 5,295.60, 7,308.06 and 2,905.68

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Solution

The fourth proportional to 5,295.60, 7,308.06 and 2,905.68 is: 4,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.60 : 7,308.06 = 2,905.68 : x
  2. Step 2: Convert to fraction form
    5,295.60/7,308.06 = 2,905.68/x
  3. Step 3: Cross multiply
    5,295.60x = 7,308.06 × 2,905.68
  4. Step 4: Simplify right side
    5,295.60x = 21,234,883.78
  5. Step 5: Solve for x
    x = 21,234,883.78/5,295.60
  6. Step 6: Final answer
    x = 4,009.91

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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.