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Finding the Fourth Proportional to 5,683.84, 7,840.04 and 3,669.82

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Solution

The fourth proportional to 5,683.84, 7,840.04 and 3,669.82 is: 5,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.84 : 7,840.04 = 3,669.82 : x
  2. Step 2: Convert to fraction form
    5,683.84/7,840.04 = 3,669.82/x
  3. Step 3: Cross multiply
    5,683.84x = 7,840.04 × 3,669.82
  4. Step 4: Simplify right side
    5,683.84x = 28,771,497.64
  5. Step 5: Solve for x
    x = 28,771,497.64/5,683.84
  6. Step 6: Final answer
    x = 5,061.98

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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.