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Finding the Fourth Proportional to 5,649.30, 8,467.11 and 4,985.01

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Solution

The fourth proportional to 5,649.30, 8,467.11 and 4,985.01 is: 7,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.30 : 8,467.11 = 4,985.01 : x
  2. Step 2: Convert to fraction form
    5,649.30/8,467.11 = 4,985.01/x
  3. Step 3: Cross multiply
    5,649.30x = 8,467.11 × 4,985.01
  4. Step 4: Simplify right side
    5,649.30x = 42,208,628.02
  5. Step 5: Solve for x
    x = 42,208,628.02/5,649.30
  6. Step 6: Final answer
    x = 7,471.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.