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Finding the Fourth Proportional to 5,649.39, 8,477.04 and 4,102.18

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Solution

The fourth proportional to 5,649.39, 8,477.04 and 4,102.18 is: 6,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.39 : 8,477.04 = 4,102.18 : x
  2. Step 2: Convert to fraction form
    5,649.39/8,477.04 = 4,102.18/x
  3. Step 3: Cross multiply
    5,649.39x = 8,477.04 × 4,102.18
  4. Step 4: Simplify right side
    5,649.39x = 34,774,311.82
  5. Step 5: Solve for x
    x = 34,774,311.82/5,649.39
  6. Step 6: Final answer
    x = 6,155.41

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