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Finding the Fourth Proportional to 5,746.68, 8,621.64 and 1,851.39

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Solution

The fourth proportional to 5,746.68, 8,621.64 and 1,851.39 is: 2,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.68 : 8,621.64 = 1,851.39 : x
  2. Step 2: Convert to fraction form
    5,746.68/8,621.64 = 1,851.39/x
  3. Step 3: Cross multiply
    5,746.68x = 8,621.64 × 1,851.39
  4. Step 4: Simplify right side
    5,746.68x = 15,962,018.08
  5. Step 5: Solve for x
    x = 15,962,018.08/5,746.68
  6. Step 6: Final answer
    x = 2,777.61

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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.