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Finding the Fourth Proportional to 4,641.61, 6,959.11 and 2,175.08

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Solution

The fourth proportional to 4,641.61, 6,959.11 and 2,175.08 is: 3,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.61 : 6,959.11 = 2,175.08 : x
  2. Step 2: Convert to fraction form
    4,641.61/6,959.11 = 2,175.08/x
  3. Step 3: Cross multiply
    4,641.61x = 6,959.11 × 2,175.08
  4. Step 4: Simplify right side
    4,641.61x = 15,136,620.98
  5. Step 5: Solve for x
    x = 15,136,620.98/4,641.61
  6. Step 6: Final answer
    x = 3,261.07

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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.