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Finding the Fourth Proportional to 4,094.74, 5,649.04 and 2,415.48

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Solution

The fourth proportional to 4,094.74, 5,649.04 and 2,415.48 is: 3,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.74 : 5,649.04 = 2,415.48 : x
  2. Step 2: Convert to fraction form
    4,094.74/5,649.04 = 2,415.48/x
  3. Step 3: Cross multiply
    4,094.74x = 5,649.04 × 2,415.48
  4. Step 4: Simplify right side
    4,094.74x = 13,645,143.14
  5. Step 5: Solve for x
    x = 13,645,143.14/4,094.74
  6. Step 6: Final answer
    x = 3,332.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.