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Finding the Fourth Proportional to 4,856.84, 7,282.75 and 1,569.50

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Solution

The fourth proportional to 4,856.84, 7,282.75 and 1,569.50 is: 2,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.84 : 7,282.75 = 1,569.50 : x
  2. Step 2: Convert to fraction form
    4,856.84/7,282.75 = 1,569.50/x
  3. Step 3: Cross multiply
    4,856.84x = 7,282.75 × 1,569.50
  4. Step 4: Simplify right side
    4,856.84x = 11,430,290.41
  5. Step 5: Solve for x
    x = 11,430,290.41/4,856.84
  6. Step 6: Final answer
    x = 2,353.44

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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.