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Finding the Fourth Proportional to 5,302.92, 7,317.42 and 2,944.68

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Solution

The fourth proportional to 5,302.92, 7,317.42 and 2,944.68 is: 4,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.92 : 7,317.42 = 2,944.68 : x
  2. Step 2: Convert to fraction form
    5,302.92/7,317.42 = 2,944.68/x
  3. Step 3: Cross multiply
    5,302.92x = 7,317.42 × 2,944.68
  4. Step 4: Simplify right side
    5,302.92x = 21,547,460.33
  5. Step 5: Solve for x
    x = 21,547,460.33/5,302.92
  6. Step 6: Final answer
    x = 4,063.32

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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.