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Finding the Fourth Proportional to 3,292.52, 4,935.47 and 3,029.78

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Solution

The fourth proportional to 3,292.52, 4,935.47 and 3,029.78 is: 4,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.52 : 4,935.47 = 3,029.78 : x
  2. Step 2: Convert to fraction form
    3,292.52/4,935.47 = 3,029.78/x
  3. Step 3: Cross multiply
    3,292.52x = 4,935.47 × 3,029.78
  4. Step 4: Simplify right side
    3,292.52x = 14,953,385.49
  5. Step 5: Solve for x
    x = 14,953,385.49/3,292.52
  6. Step 6: Final answer
    x = 4,541.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.