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Finding the Fourth Proportional to 4,856.75, 7,284.50 and 1,569.51

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Solution

The fourth proportional to 4,856.75, 7,284.50 and 1,569.51 is: 2,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.75 : 7,284.50 = 1,569.51 : x
  2. Step 2: Convert to fraction form
    4,856.75/7,284.50 = 1,569.51/x
  3. Step 3: Cross multiply
    4,856.75x = 7,284.50 × 1,569.51
  4. Step 4: Simplify right side
    4,856.75x = 11,433,087.75
  5. Step 5: Solve for x
    x = 11,433,087.75/4,856.75
  6. Step 6: Final answer
    x = 2,354.06

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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.