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Finding the Fourth Proportional to 6,152, 8,490.12 and 3,499.52

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Solution

The fourth proportional to 6,152, 8,490.12 and 3,499.52 is: 4,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152 : 8,490.12 = 3,499.52 : x
  2. Step 2: Convert to fraction form
    6,152/8,490.12 = 3,499.52/x
  3. Step 3: Cross multiply
    6,152x = 8,490.12 × 3,499.52
  4. Step 4: Simplify right side
    6,152x = 29,711,344.74
  5. Step 5: Solve for x
    x = 29,711,344.74/6,152
  6. Step 6: Final answer
    x = 4,829.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.