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Finding the Fourth Proportional to 5,545.44, 8,279.64 and 5,490

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Solution

The fourth proportional to 5,545.44, 8,279.64 and 5,490 is: 8,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.44 : 8,279.64 = 5,490 : x
  2. Step 2: Convert to fraction form
    5,545.44/8,279.64 = 5,490/x
  3. Step 3: Cross multiply
    5,545.44x = 8,279.64 × 5,490
  4. Step 4: Simplify right side
    5,545.44x = 45,455,223.60
  5. Step 5: Solve for x
    x = 45,455,223.60/5,545.44
  6. Step 6: Final answer
    x = 8,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.