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Finding the Fourth Proportional to 5,896.84, 8,817.92 and 4,565.51

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Solution

The fourth proportional to 5,896.84, 8,817.92 and 4,565.51 is: 6,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.84 : 8,817.92 = 4,565.51 : x
  2. Step 2: Convert to fraction form
    5,896.84/8,817.92 = 4,565.51/x
  3. Step 3: Cross multiply
    5,896.84x = 8,817.92 × 4,565.51
  4. Step 4: Simplify right side
    5,896.84x = 40,258,269.26
  5. Step 5: Solve for x
    x = 40,258,269.26/5,896.84
  6. Step 6: Final answer
    x = 6,827.09

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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.