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Finding the Fourth Proportional to 4,856.50, 7,284.12 and 1,569.26

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Solution

The fourth proportional to 4,856.50, 7,284.12 and 1,569.26 is: 2,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.50 : 7,284.12 = 1,569.26 : x
  2. Step 2: Convert to fraction form
    4,856.50/7,284.12 = 1,569.26/x
  3. Step 3: Cross multiply
    4,856.50x = 7,284.12 × 1,569.26
  4. Step 4: Simplify right side
    4,856.50x = 11,430,678.15
  5. Step 5: Solve for x
    x = 11,430,678.15/4,856.50
  6. Step 6: Final answer
    x = 2,353.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.