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Finding the Fourth Proportional to 5,356.70, 8,035.65 and 1,658.90

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Solution

The fourth proportional to 5,356.70, 8,035.65 and 1,658.90 is: 2,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.70 : 8,035.65 = 1,658.90 : x
  2. Step 2: Convert to fraction form
    5,356.70/8,035.65 = 1,658.90/x
  3. Step 3: Cross multiply
    5,356.70x = 8,035.65 × 1,658.90
  4. Step 4: Simplify right side
    5,356.70x = 13,330,339.79
  5. Step 5: Solve for x
    x = 13,330,339.79/5,356.70
  6. Step 6: Final answer
    x = 2,488.54

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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.