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Finding the Fourth Proportional to 4,123.84, 5,690.88 and 2,235.47

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Solution

The fourth proportional to 4,123.84, 5,690.88 and 2,235.47 is: 3,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.84 : 5,690.88 = 2,235.47 : x
  2. Step 2: Convert to fraction form
    4,123.84/5,690.88 = 2,235.47/x
  3. Step 3: Cross multiply
    4,123.84x = 5,690.88 × 2,235.47
  4. Step 4: Simplify right side
    4,123.84x = 12,721,805.74
  5. Step 5: Solve for x
    x = 12,721,805.74/4,123.84
  6. Step 6: Final answer
    x = 3,084.94

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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.