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Finding the Fourth Proportional to 3,746.42, 5,612.70 and 1,893.11

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Solution

The fourth proportional to 3,746.42, 5,612.70 and 1,893.11 is: 2,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.42 : 5,612.70 = 1,893.11 : x
  2. Step 2: Convert to fraction form
    3,746.42/5,612.70 = 1,893.11/x
  3. Step 3: Cross multiply
    3,746.42x = 5,612.70 × 1,893.11
  4. Step 4: Simplify right side
    3,746.42x = 10,625,430.43
  5. Step 5: Solve for x
    x = 10,625,430.43/3,746.42
  6. Step 6: Final answer
    x = 2,836.16

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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.