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Finding the Fourth Proportional to 5,698.14, 8,545.50 and 3,064.02

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Solution

The fourth proportional to 5,698.14, 8,545.50 and 3,064.02 is: 4,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.14 : 8,545.50 = 3,064.02 : x
  2. Step 2: Convert to fraction form
    5,698.14/8,545.50 = 3,064.02/x
  3. Step 3: Cross multiply
    5,698.14x = 8,545.50 × 3,064.02
  4. Step 4: Simplify right side
    5,698.14x = 26,183,582.91
  5. Step 5: Solve for x
    x = 26,183,582.91/5,698.14
  6. Step 6: Final answer
    x = 4,595.11

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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.