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Finding the Fourth Proportional to 4,336.95, 6,506.10 and 1,414.35

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Solution

The fourth proportional to 4,336.95, 6,506.10 and 1,414.35 is: 2,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.95 : 6,506.10 = 1,414.35 : x
  2. Step 2: Convert to fraction form
    4,336.95/6,506.10 = 1,414.35/x
  3. Step 3: Cross multiply
    4,336.95x = 6,506.10 × 1,414.35
  4. Step 4: Simplify right side
    4,336.95x = 9,201,902.54
  5. Step 5: Solve for x
    x = 9,201,902.54/4,336.95
  6. Step 6: Final answer
    x = 2,121.75

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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.