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Finding the Fourth Proportional to 5,826.79, 8,039.86 and 3,437.51

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Solution

The fourth proportional to 5,826.79, 8,039.86 and 3,437.51 is: 4,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.79 : 8,039.86 = 3,437.51 : x
  2. Step 2: Convert to fraction form
    5,826.79/8,039.86 = 3,437.51/x
  3. Step 3: Cross multiply
    5,826.79x = 8,039.86 × 3,437.51
  4. Step 4: Simplify right side
    5,826.79x = 27,637,081.96
  5. Step 5: Solve for x
    x = 27,637,081.96/5,826.79
  6. Step 6: Final answer
    x = 4,743.11

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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.