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Finding the Fourth Proportional to 4,604.94, 6,347.07 and 3,527.82

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Solution

The fourth proportional to 4,604.94, 6,347.07 and 3,527.82 is: 4,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.94 : 6,347.07 = 3,527.82 : x
  2. Step 2: Convert to fraction form
    4,604.94/6,347.07 = 3,527.82/x
  3. Step 3: Cross multiply
    4,604.94x = 6,347.07 × 3,527.82
  4. Step 4: Simplify right side
    4,604.94x = 22,391,320.49
  5. Step 5: Solve for x
    x = 22,391,320.49/4,604.94
  6. Step 6: Final answer
    x = 4,862.46

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