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Finding the Fourth Proportional to 5,868, 8,097.84 and 3,215.51

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Solution

The fourth proportional to 5,868, 8,097.84 and 3,215.51 is: 4,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868 : 8,097.84 = 3,215.51 : x
  2. Step 2: Convert to fraction form
    5,868/8,097.84 = 3,215.51/x
  3. Step 3: Cross multiply
    5,868x = 8,097.84 × 3,215.51
  4. Step 4: Simplify right side
    5,868x = 26,038,675.38
  5. Step 5: Solve for x
    x = 26,038,675.38/5,868
  6. Step 6: Final answer
    x = 4,437.40

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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.