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Finding the Fourth Proportional to 5,074.65, 7,611.71 and 1,611.63

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Solution

The fourth proportional to 5,074.65, 7,611.71 and 1,611.63 is: 2,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.65 : 7,611.71 = 1,611.63 : x
  2. Step 2: Convert to fraction form
    5,074.65/7,611.71 = 1,611.63/x
  3. Step 3: Cross multiply
    5,074.65x = 7,611.71 × 1,611.63
  4. Step 4: Simplify right side
    5,074.65x = 12,267,252.13
  5. Step 5: Solve for x
    x = 12,267,252.13/5,074.65
  6. Step 6: Final answer
    x = 2,417.36

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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.