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Finding the Fourth Proportional to 5,895, 8,844.93 and 2,434.68

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Solution

The fourth proportional to 5,895, 8,844.93 and 2,434.68 is: 3,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895 : 8,844.93 = 2,434.68 : x
  2. Step 2: Convert to fraction form
    5,895/8,844.93 = 2,434.68/x
  3. Step 3: Cross multiply
    5,895x = 8,844.93 × 2,434.68
  4. Step 4: Simplify right side
    5,895x = 21,534,574.17
  5. Step 5: Solve for x
    x = 21,534,574.17/5,895
  6. Step 6: Final answer
    x = 3,653.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.