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Finding the Fourth Proportional to 4,195.56, 6,284.70 and 2,460

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Solution

The fourth proportional to 4,195.56, 6,284.70 and 2,460 is: 3,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.56 : 6,284.70 = 2,460 : x
  2. Step 2: Convert to fraction form
    4,195.56/6,284.70 = 2,460/x
  3. Step 3: Cross multiply
    4,195.56x = 6,284.70 × 2,460
  4. Step 4: Simplify right side
    4,195.56x = 15,460,362
  5. Step 5: Solve for x
    x = 15,460,362/4,195.56
  6. Step 6: Final answer
    x = 3,684.93

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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.