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Finding the Fourth Proportional to 5,302.65, 7,317.63 and 2,944.77

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Solution

The fourth proportional to 5,302.65, 7,317.63 and 2,944.77 is: 4,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.65 : 7,317.63 = 2,944.77 : x
  2. Step 2: Convert to fraction form
    5,302.65/7,317.63 = 2,944.77/x
  3. Step 3: Cross multiply
    5,302.65x = 7,317.63 × 2,944.77
  4. Step 4: Simplify right side
    5,302.65x = 21,548,737.30
  5. Step 5: Solve for x
    x = 21,548,737.30/5,302.65
  6. Step 6: Final answer
    x = 4,063.77

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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.