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Finding the Fourth Proportional to 4,257.84, 5,875.72 and 2,394.80

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Solution

The fourth proportional to 4,257.84, 5,875.72 and 2,394.80 is: 3,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.84 : 5,875.72 = 2,394.80 : x
  2. Step 2: Convert to fraction form
    4,257.84/5,875.72 = 2,394.80/x
  3. Step 3: Cross multiply
    4,257.84x = 5,875.72 × 2,394.80
  4. Step 4: Simplify right side
    4,257.84x = 14,071,174.26
  5. Step 5: Solve for x
    x = 14,071,174.26/4,257.84
  6. Step 6: Final answer
    x = 3,304.77

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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.