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Finding the Fourth Proportional to 4,557, 6,288.94 and 3,041.97

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Solution

The fourth proportional to 4,557, 6,288.94 and 3,041.97 is: 4,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 6,288.94 = 3,041.97 : x
  2. Step 2: Convert to fraction form
    4,557/6,288.94 = 3,041.97/x
  3. Step 3: Cross multiply
    4,557x = 6,288.94 × 3,041.97
  4. Step 4: Simplify right side
    4,557x = 19,130,766.81
  5. Step 5: Solve for x
    x = 19,130,766.81/4,557
  6. Step 6: Final answer
    x = 4,198.11

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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.