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Finding the Fourth Proportional to 5,648.16, 7,794.86 and 3,756.54

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Solution

The fourth proportional to 5,648.16, 7,794.86 and 3,756.54 is: 5,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.16 : 7,794.86 = 3,756.54 : x
  2. Step 2: Convert to fraction form
    5,648.16/7,794.86 = 3,756.54/x
  3. Step 3: Cross multiply
    5,648.16x = 7,794.86 × 3,756.54
  4. Step 4: Simplify right side
    5,648.16x = 29,281,703.38
  5. Step 5: Solve for x
    x = 29,281,703.38/5,648.16
  6. Step 6: Final answer
    x = 5,184.29

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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.