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Finding the Fourth Proportional to 5,652, 7,800.66 and 4,454.28

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Solution

The fourth proportional to 5,652, 7,800.66 and 4,454.28 is: 6,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652 : 7,800.66 = 4,454.28 : x
  2. Step 2: Convert to fraction form
    5,652/7,800.66 = 4,454.28/x
  3. Step 3: Cross multiply
    5,652x = 7,800.66 × 4,454.28
  4. Step 4: Simplify right side
    5,652x = 34,746,323.82
  5. Step 5: Solve for x
    x = 34,746,323.82/5,652
  6. Step 6: Final answer
    x = 6,147.62

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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.