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Finding the Fourth Proportional to 3,604.16, 4,966.36 and 2,658.46

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Solution

The fourth proportional to 3,604.16, 4,966.36 and 2,658.46 is: 3,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.16 : 4,966.36 = 2,658.46 : x
  2. Step 2: Convert to fraction form
    3,604.16/4,966.36 = 2,658.46/x
  3. Step 3: Cross multiply
    3,604.16x = 4,966.36 × 2,658.46
  4. Step 4: Simplify right side
    3,604.16x = 13,202,867.63
  5. Step 5: Solve for x
    x = 13,202,867.63/3,604.16
  6. Step 6: Final answer
    x = 3,663.23

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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.