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Finding the Fourth Proportional to 4,643.96, 6,964.20 and 1,869.69

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Solution

The fourth proportional to 4,643.96, 6,964.20 and 1,869.69 is: 2,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.96 : 6,964.20 = 1,869.69 : x
  2. Step 2: Convert to fraction form
    4,643.96/6,964.20 = 1,869.69/x
  3. Step 3: Cross multiply
    4,643.96x = 6,964.20 × 1,869.69
  4. Step 4: Simplify right side
    4,643.96x = 13,020,895.10
  5. Step 5: Solve for x
    x = 13,020,895.10/4,643.96
  6. Step 6: Final answer
    x = 2,803.84

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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.