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Finding the Fourth Proportional to 5,658.23, 8,484.60 and 3,319

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Solution

The fourth proportional to 5,658.23, 8,484.60 and 3,319 is: 4,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.23 : 8,484.60 = 3,319 : x
  2. Step 2: Convert to fraction form
    5,658.23/8,484.60 = 3,319/x
  3. Step 3: Cross multiply
    5,658.23x = 8,484.60 × 3,319
  4. Step 4: Simplify right side
    5,658.23x = 28,160,387.40
  5. Step 5: Solve for x
    x = 28,160,387.40/5,658.23
  6. Step 6: Final answer
    x = 4,976.89

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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.