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Finding the Fourth Proportional to 4,597.81, 6,344.01 and 3,006.79

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Solution

The fourth proportional to 4,597.81, 6,344.01 and 3,006.79 is: 4,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.81 : 6,344.01 = 3,006.79 : x
  2. Step 2: Convert to fraction form
    4,597.81/6,344.01 = 3,006.79/x
  3. Step 3: Cross multiply
    4,597.81x = 6,344.01 × 3,006.79
  4. Step 4: Simplify right side
    4,597.81x = 19,075,105.83
  5. Step 5: Solve for x
    x = 19,075,105.83/4,597.81
  6. Step 6: Final answer
    x = 4,148.74

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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.