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Finding the Fourth Proportional to 5,735.66, 7,916.02 and 3,346.42

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Solution

The fourth proportional to 5,735.66, 7,916.02 and 3,346.42 is: 4,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.66 : 7,916.02 = 3,346.42 : x
  2. Step 2: Convert to fraction form
    5,735.66/7,916.02 = 3,346.42/x
  3. Step 3: Cross multiply
    5,735.66x = 7,916.02 × 3,346.42
  4. Step 4: Simplify right side
    5,735.66x = 26,490,327.65
  5. Step 5: Solve for x
    x = 26,490,327.65/5,735.66
  6. Step 6: Final answer
    x = 4,618.53

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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.