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Finding the Fourth Proportional to 5,302.64, 7,317.54 and 2,944.74

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Solution

The fourth proportional to 5,302.64, 7,317.54 and 2,944.74 is: 4,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.64 : 7,317.54 = 2,944.74 : x
  2. Step 2: Convert to fraction form
    5,302.64/7,317.54 = 2,944.74/x
  3. Step 3: Cross multiply
    5,302.64x = 7,317.54 × 2,944.74
  4. Step 4: Simplify right side
    5,302.64x = 21,548,252.74
  5. Step 5: Solve for x
    x = 21,548,252.74/5,302.64
  6. Step 6: Final answer
    x = 4,063.68

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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.