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Finding the Fourth Proportional to 4,185.59, 6,274.01 and 1,411.30

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Solution

The fourth proportional to 4,185.59, 6,274.01 and 1,411.30 is: 2,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.59 : 6,274.01 = 1,411.30 : x
  2. Step 2: Convert to fraction form
    4,185.59/6,274.01 = 1,411.30/x
  3. Step 3: Cross multiply
    4,185.59x = 6,274.01 × 1,411.30
  4. Step 4: Simplify right side
    4,185.59x = 8,854,511.10
  5. Step 5: Solve for x
    x = 8,854,511.10/4,185.59
  6. Step 6: Final answer
    x = 2,115.48

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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.