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Finding the Fourth Proportional to 5,216.16, 7,201.60 and 3,648

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Solution

The fourth proportional to 5,216.16, 7,201.60 and 3,648 is: 5,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.16 : 7,201.60 = 3,648 : x
  2. Step 2: Convert to fraction form
    5,216.16/7,201.60 = 3,648/x
  3. Step 3: Cross multiply
    5,216.16x = 7,201.60 × 3,648
  4. Step 4: Simplify right side
    5,216.16x = 26,271,436.80
  5. Step 5: Solve for x
    x = 26,271,436.80/5,216.16
  6. Step 6: Final answer
    x = 5,036.55

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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.