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Finding the Fourth Proportional to 5,753.50, 8,590.79 and 5,156.66

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Solution

The fourth proportional to 5,753.50, 8,590.79 and 5,156.66 is: 7,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.50 : 8,590.79 = 5,156.66 : x
  2. Step 2: Convert to fraction form
    5,753.50/8,590.79 = 5,156.66/x
  3. Step 3: Cross multiply
    5,753.50x = 8,590.79 × 5,156.66
  4. Step 4: Simplify right side
    5,753.50x = 44,299,817.53
  5. Step 5: Solve for x
    x = 44,299,817.53/5,753.50
  6. Step 6: Final answer
    x = 7,699.63

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1.5x scale

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.