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Finding the Fourth Proportional to 5,649.16, 8,433.26 and 4,911.25

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Solution

The fourth proportional to 5,649.16, 8,433.26 and 4,911.25 is: 7,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.16 : 8,433.26 = 4,911.25 : x
  2. Step 2: Convert to fraction form
    5,649.16/8,433.26 = 4,911.25/x
  3. Step 3: Cross multiply
    5,649.16x = 8,433.26 × 4,911.25
  4. Step 4: Simplify right side
    5,649.16x = 41,417,848.18
  5. Step 5: Solve for x
    x = 41,417,848.18/5,649.16
  6. Step 6: Final answer
    x = 7,331.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.