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Finding the Fourth Proportional to 4,092.58, 6,140.94 and 2,012.50

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Solution

The fourth proportional to 4,092.58, 6,140.94 and 2,012.50 is: 3,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.58 : 6,140.94 = 2,012.50 : x
  2. Step 2: Convert to fraction form
    4,092.58/6,140.94 = 2,012.50/x
  3. Step 3: Cross multiply
    4,092.58x = 6,140.94 × 2,012.50
  4. Step 4: Simplify right side
    4,092.58x = 12,358,641.75
  5. Step 5: Solve for x
    x = 12,358,641.75/4,092.58
  6. Step 6: Final answer
    x = 3,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.