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Finding the Fourth Proportional to 5,302.78, 7,317.86 and 2,944.92

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Solution

The fourth proportional to 5,302.78, 7,317.86 and 2,944.92 is: 4,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.78 : 7,317.86 = 2,944.92 : x
  2. Step 2: Convert to fraction form
    5,302.78/7,317.86 = 2,944.92/x
  3. Step 3: Cross multiply
    5,302.78x = 7,317.86 × 2,944.92
  4. Step 4: Simplify right side
    5,302.78x = 21,550,533.27
  5. Step 5: Solve for x
    x = 21,550,533.27/5,302.78
  6. Step 6: Final answer
    x = 4,064.00

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Why These Related Problems?

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