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Finding the Fourth Proportional to 4,661.49, 6,434.86 and 3,332.89

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Solution

The fourth proportional to 4,661.49, 6,434.86 and 3,332.89 is: 4,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.49 : 6,434.86 = 3,332.89 : x
  2. Step 2: Convert to fraction form
    4,661.49/6,434.86 = 3,332.89/x
  3. Step 3: Cross multiply
    4,661.49x = 6,434.86 × 3,332.89
  4. Step 4: Simplify right side
    4,661.49x = 21,446,680.55
  5. Step 5: Solve for x
    x = 21,446,680.55/4,661.49
  6. Step 6: Final answer
    x = 4,600.82

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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.