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Finding the Fourth Proportional to 5,789.95, 8,683.54 and 3,323.50

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Solution

The fourth proportional to 5,789.95, 8,683.54 and 3,323.50 is: 4,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.95 : 8,683.54 = 3,323.50 : x
  2. Step 2: Convert to fraction form
    5,789.95/8,683.54 = 3,323.50/x
  3. Step 3: Cross multiply
    5,789.95x = 8,683.54 × 3,323.50
  4. Step 4: Simplify right side
    5,789.95x = 28,859,715.17
  5. Step 5: Solve for x
    x = 28,859,715.17/5,789.95
  6. Step 6: Final answer
    x = 4,984.45

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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.