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Finding the Fourth Proportional to 5,697.91, 8,545.50 and 1,802.35

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Solution

The fourth proportional to 5,697.91, 8,545.50 and 1,802.35 is: 2,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.91 : 8,545.50 = 1,802.35 : x
  2. Step 2: Convert to fraction form
    5,697.91/8,545.50 = 1,802.35/x
  3. Step 3: Cross multiply
    5,697.91x = 8,545.50 × 1,802.35
  4. Step 4: Simplify right side
    5,697.91x = 15,401,981.93
  5. Step 5: Solve for x
    x = 15,401,981.93/5,697.91
  6. Step 6: Final answer
    x = 2,703.09

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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.