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Finding the Fourth Proportional to 3,649.78, 5,475.53 and 1,184.60

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Solution

The fourth proportional to 3,649.78, 5,475.53 and 1,184.60 is: 1,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.78 : 5,475.53 = 1,184.60 : x
  2. Step 2: Convert to fraction form
    3,649.78/5,475.53 = 1,184.60/x
  3. Step 3: Cross multiply
    3,649.78x = 5,475.53 × 1,184.60
  4. Step 4: Simplify right side
    3,649.78x = 6,486,312.84
  5. Step 5: Solve for x
    x = 6,486,312.84/3,649.78
  6. Step 6: Final answer
    x = 1,777.18

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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.