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Finding the Fourth Proportional to 3,649.60, 5,475.36 and 1,894.72

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Solution

The fourth proportional to 3,649.60, 5,475.36 and 1,894.72 is: 2,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.60 : 5,475.36 = 1,894.72 : x
  2. Step 2: Convert to fraction form
    3,649.60/5,475.36 = 1,894.72/x
  3. Step 3: Cross multiply
    3,649.60x = 5,475.36 × 1,894.72
  4. Step 4: Simplify right side
    3,649.60x = 10,374,274.10
  5. Step 5: Solve for x
    x = 10,374,274.10/3,649.60
  6. Step 6: Final answer
    x = 2,842.58

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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.