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Finding the Fourth Proportional to 3,499.16, 4,823.21 and 2,364.48

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Solution

The fourth proportional to 3,499.16, 4,823.21 and 2,364.48 is: 3,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.16 : 4,823.21 = 2,364.48 : x
  2. Step 2: Convert to fraction form
    3,499.16/4,823.21 = 2,364.48/x
  3. Step 3: Cross multiply
    3,499.16x = 4,823.21 × 2,364.48
  4. Step 4: Simplify right side
    3,499.16x = 11,404,365.38
  5. Step 5: Solve for x
    x = 11,404,365.38/3,499.16
  6. Step 6: Final answer
    x = 3,259.17

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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.