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Finding the Fourth Proportional to 4,287.84, 5,911.80 and 3,649.14

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Solution

The fourth proportional to 4,287.84, 5,911.80 and 3,649.14 is: 5,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.84 : 5,911.80 = 3,649.14 : x
  2. Step 2: Convert to fraction form
    4,287.84/5,911.80 = 3,649.14/x
  3. Step 3: Cross multiply
    4,287.84x = 5,911.80 × 3,649.14
  4. Step 4: Simplify right side
    4,287.84x = 21,572,985.85
  5. Step 5: Solve for x
    x = 21,572,985.85/4,287.84
  6. Step 6: Final answer
    x = 5,031.20

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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.