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Finding the Fourth Proportional to 4,185.84, 6,278.76 and 1,874.16

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Solution

The fourth proportional to 4,185.84, 6,278.76 and 1,874.16 is: 2,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.84 : 6,278.76 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    4,185.84/6,278.76 = 1,874.16/x
  3. Step 3: Cross multiply
    4,185.84x = 6,278.76 × 1,874.16
  4. Step 4: Simplify right side
    4,185.84x = 11,767,400.84
  5. Step 5: Solve for x
    x = 11,767,400.84/4,185.84
  6. Step 6: Final answer
    x = 2,811.24

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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.