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Finding the Fourth Proportional to 4,376.84, 6,568.50 and 2,430.68

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Solution

The fourth proportional to 4,376.84, 6,568.50 and 2,430.68 is: 3,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.84 : 6,568.50 = 2,430.68 : x
  2. Step 2: Convert to fraction form
    4,376.84/6,568.50 = 2,430.68/x
  3. Step 3: Cross multiply
    4,376.84x = 6,568.50 × 2,430.68
  4. Step 4: Simplify right side
    4,376.84x = 15,965,921.58
  5. Step 5: Solve for x
    x = 15,965,921.58/4,376.84
  6. Step 6: Final answer
    x = 3,647.82

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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.