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Finding the Fourth Proportional to 5,693.70, 8,545.74 and 2,922.30

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Solution

The fourth proportional to 5,693.70, 8,545.74 and 2,922.30 is: 4,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.70 : 8,545.74 = 2,922.30 : x
  2. Step 2: Convert to fraction form
    5,693.70/8,545.74 = 2,922.30/x
  3. Step 3: Cross multiply
    5,693.70x = 8,545.74 × 2,922.30
  4. Step 4: Simplify right side
    5,693.70x = 24,973,216.00
  5. Step 5: Solve for x
    x = 24,973,216.00/5,693.70
  6. Step 6: Final answer
    x = 4,386.11

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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.