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Finding the Fourth Proportional to 5,667.78, 8,444.71 and 5,349.47

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Solution

The fourth proportional to 5,667.78, 8,444.71 and 5,349.47 is: 7,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.78 : 8,444.71 = 5,349.47 : x
  2. Step 2: Convert to fraction form
    5,667.78/8,444.71 = 5,349.47/x
  3. Step 3: Cross multiply
    5,667.78x = 8,444.71 × 5,349.47
  4. Step 4: Simplify right side
    5,667.78x = 45,174,722.80
  5. Step 5: Solve for x
    x = 45,174,722.80/5,667.78
  6. Step 6: Final answer
    x = 7,970.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.