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Finding the Fourth Proportional to 5,332, 7,358.16 and 3,236.32

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Solution

The fourth proportional to 5,332, 7,358.16 and 3,236.32 is: 4,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332 : 7,358.16 = 3,236.32 : x
  2. Step 2: Convert to fraction form
    5,332/7,358.16 = 3,236.32/x
  3. Step 3: Cross multiply
    5,332x = 7,358.16 × 3,236.32
  4. Step 4: Simplify right side
    5,332x = 23,813,360.37
  5. Step 5: Solve for x
    x = 23,813,360.37/5,332
  6. Step 6: Final answer
    x = 4,466.12

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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.