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Finding the Fourth Proportional to 5,312.58, 7,331.34 and 2,954.71

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Solution

The fourth proportional to 5,312.58, 7,331.34 and 2,954.71 is: 4,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.58 : 7,331.34 = 2,954.71 : x
  2. Step 2: Convert to fraction form
    5,312.58/7,331.34 = 2,954.71/x
  3. Step 3: Cross multiply
    5,312.58x = 7,331.34 × 2,954.71
  4. Step 4: Simplify right side
    5,312.58x = 21,661,983.61
  5. Step 5: Solve for x
    x = 21,661,983.61/5,312.58
  6. Step 6: Final answer
    x = 4,077.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.