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Finding the Fourth Proportional to 5,305.66, 7,321.60 and 2,947.95

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Solution

The fourth proportional to 5,305.66, 7,321.60 and 2,947.95 is: 4,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.66 : 7,321.60 = 2,947.95 : x
  2. Step 2: Convert to fraction form
    5,305.66/7,321.60 = 2,947.95/x
  3. Step 3: Cross multiply
    5,305.66x = 7,321.60 × 2,947.95
  4. Step 4: Simplify right side
    5,305.66x = 21,583,714.40
  5. Step 5: Solve for x
    x = 21,583,714.40/5,305.66
  6. Step 6: Final answer
    x = 4,068.06

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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.