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Finding the Fourth Proportional to 3,649.12, 5,498.32 and 3,014.08

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Solution

The fourth proportional to 3,649.12, 5,498.32 and 3,014.08 is: 4,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.12 : 5,498.32 = 3,014.08 : x
  2. Step 2: Convert to fraction form
    3,649.12/5,498.32 = 3,014.08/x
  3. Step 3: Cross multiply
    3,649.12x = 5,498.32 × 3,014.08
  4. Step 4: Simplify right side
    3,649.12x = 16,572,376.35
  5. Step 5: Solve for x
    x = 16,572,376.35/3,649.12
  6. Step 6: Final answer
    x = 4,541.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.