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Finding the Fourth Proportional to 5,681.38, 7,840.30 and 3,323.98

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Solution

The fourth proportional to 5,681.38, 7,840.30 and 3,323.98 is: 4,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.38 : 7,840.30 = 3,323.98 : x
  2. Step 2: Convert to fraction form
    5,681.38/7,840.30 = 3,323.98/x
  3. Step 3: Cross multiply
    5,681.38x = 7,840.30 × 3,323.98
  4. Step 4: Simplify right side
    5,681.38x = 26,060,961.19
  5. Step 5: Solve for x
    x = 26,060,961.19/5,681.38
  6. Step 6: Final answer
    x = 4,587.09

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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.