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Finding the Fourth Proportional to 5,569.38, 7,678.67 and 3,977.93

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Solution

The fourth proportional to 5,569.38, 7,678.67 and 3,977.93 is: 5,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.38 : 7,678.67 = 3,977.93 : x
  2. Step 2: Convert to fraction form
    5,569.38/7,678.67 = 3,977.93/x
  3. Step 3: Cross multiply
    5,569.38x = 7,678.67 × 3,977.93
  4. Step 4: Simplify right side
    5,569.38x = 30,545,211.06
  5. Step 5: Solve for x
    x = 30,545,211.06/5,569.38
  6. Step 6: Final answer
    x = 5,484.49

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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.