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Finding the Fourth Proportional to 5,806.58, 8,709.86 and 1,424.00

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Solution

The fourth proportional to 5,806.58, 8,709.86 and 1,424.00 is: 2,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.58 : 8,709.86 = 1,424.00 : x
  2. Step 2: Convert to fraction form
    5,806.58/8,709.86 = 1,424.00/x
  3. Step 3: Cross multiply
    5,806.58x = 8,709.86 × 1,424.00
  4. Step 4: Simplify right side
    5,806.58x = 12,402,865.97
  5. Step 5: Solve for x
    x = 12,402,865.97/5,806.58
  6. Step 6: Final answer
    x = 2,136.00

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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.