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Finding the Fourth Proportional to 4,641.75, 6,964.65 and 1,719.27

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Solution

The fourth proportional to 4,641.75, 6,964.65 and 1,719.27 is: 2,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.75 : 6,964.65 = 1,719.27 : x
  2. Step 2: Convert to fraction form
    4,641.75/6,964.65 = 1,719.27/x
  3. Step 3: Cross multiply
    4,641.75x = 6,964.65 × 1,719.27
  4. Step 4: Simplify right side
    4,641.75x = 11,974,113.81
  5. Step 5: Solve for x
    x = 11,974,113.81/4,641.75
  6. Step 6: Final answer
    x = 2,579.66

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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.