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Finding the Fourth Proportional to 4,205.65, 6,304.94 and 2,814.74

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Solution

The fourth proportional to 4,205.65, 6,304.94 and 2,814.74 is: 4,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.65 : 6,304.94 = 2,814.74 : x
  2. Step 2: Convert to fraction form
    4,205.65/6,304.94 = 2,814.74/x
  3. Step 3: Cross multiply
    4,205.65x = 6,304.94 × 2,814.74
  4. Step 4: Simplify right side
    4,205.65x = 17,746,746.55
  5. Step 5: Solve for x
    x = 17,746,746.55/4,205.65
  6. Step 6: Final answer
    x = 4,219.74

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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.