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Finding the Fourth Proportional to 4,537.82, 6,803.04 and 1,763.06

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Solution

The fourth proportional to 4,537.82, 6,803.04 and 1,763.06 is: 2,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.82 : 6,803.04 = 1,763.06 : x
  2. Step 2: Convert to fraction form
    4,537.82/6,803.04 = 1,763.06/x
  3. Step 3: Cross multiply
    4,537.82x = 6,803.04 × 1,763.06
  4. Step 4: Simplify right side
    4,537.82x = 11,994,167.70
  5. Step 5: Solve for x
    x = 11,994,167.70/4,537.82
  6. Step 6: Final answer
    x = 2,643.16

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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.