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Finding the Fourth Proportional to 4,288.98, 6,429.83 and 4,084.86

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Solution

The fourth proportional to 4,288.98, 6,429.83 and 4,084.86 is: 6,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.98 : 6,429.83 = 4,084.86 : x
  2. Step 2: Convert to fraction form
    4,288.98/6,429.83 = 4,084.86/x
  3. Step 3: Cross multiply
    4,288.98x = 6,429.83 × 4,084.86
  4. Step 4: Simplify right side
    4,288.98x = 26,264,934.95
  5. Step 5: Solve for x
    x = 26,264,934.95/4,288.98
  6. Step 6: Final answer
    x = 6,123.82

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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.