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Finding the Fourth Proportional to 4,810.77, 6,640.53 and 2,822.01

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Solution

The fourth proportional to 4,810.77, 6,640.53 and 2,822.01 is: 3,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.77 : 6,640.53 = 2,822.01 : x
  2. Step 2: Convert to fraction form
    4,810.77/6,640.53 = 2,822.01/x
  3. Step 3: Cross multiply
    4,810.77x = 6,640.53 × 2,822.01
  4. Step 4: Simplify right side
    4,810.77x = 18,739,642.07
  5. Step 5: Solve for x
    x = 18,739,642.07/4,810.77
  6. Step 6: Final answer
    x = 3,895.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.