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Finding the Fourth Proportional to 5,302.71, 7,318.17 and 2,944.80

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Solution

The fourth proportional to 5,302.71, 7,318.17 and 2,944.80 is: 4,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.71 : 7,318.17 = 2,944.80 : x
  2. Step 2: Convert to fraction form
    5,302.71/7,318.17 = 2,944.80/x
  3. Step 3: Cross multiply
    5,302.71x = 7,318.17 × 2,944.80
  4. Step 4: Simplify right side
    5,302.71x = 21,550,547.02
  5. Step 5: Solve for x
    x = 21,550,547.02/5,302.71
  6. Step 6: Final answer
    x = 4,064.06

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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.