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Finding the Fourth Proportional to 4,059, 6,085.24 and 1,752.12

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Solution

The fourth proportional to 4,059, 6,085.24 and 1,752.12 is: 2,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 6,085.24 = 1,752.12 : x
  2. Step 2: Convert to fraction form
    4,059/6,085.24 = 1,752.12/x
  3. Step 3: Cross multiply
    4,059x = 6,085.24 × 1,752.12
  4. Step 4: Simplify right side
    4,059x = 10,662,070.71
  5. Step 5: Solve for x
    x = 10,662,070.71/4,059
  6. Step 6: Final answer
    x = 2,626.77

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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.