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Finding the Fourth Proportional to 5,636, 7,778 and 3,152

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Solution

The fourth proportional to 5,636, 7,778 and 3,152 is: 4,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636 : 7,778 = 3,152 : x
  2. Step 2: Convert to fraction form
    5,636/7,778 = 3,152/x
  3. Step 3: Cross multiply
    5,636x = 7,778 × 3,152
  4. Step 4: Simplify right side
    5,636x = 24,516,256
  5. Step 5: Solve for x
    x = 24,516,256/5,636
  6. Step 6: Final answer
    x = 4,349.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.