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Finding the Fourth Proportional to 5,305.71, 7,321.62 and 2,948.01

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Solution

The fourth proportional to 5,305.71, 7,321.62 and 2,948.01 is: 4,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.71 : 7,321.62 = 2,948.01 : x
  2. Step 2: Convert to fraction form
    5,305.71/7,321.62 = 2,948.01/x
  3. Step 3: Cross multiply
    5,305.71x = 7,321.62 × 2,948.01
  4. Step 4: Simplify right side
    5,305.71x = 21,584,208.98
  5. Step 5: Solve for x
    x = 21,584,208.98/5,305.71
  6. Step 6: Final answer
    x = 4,068.11

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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.