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Finding the Fourth Proportional to 5,234.58, 7,854.99 and 2,114.16

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Solution

The fourth proportional to 5,234.58, 7,854.99 and 2,114.16 is: 3,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.58 : 7,854.99 = 2,114.16 : x
  2. Step 2: Convert to fraction form
    5,234.58/7,854.99 = 2,114.16/x
  3. Step 3: Cross multiply
    5,234.58x = 7,854.99 × 2,114.16
  4. Step 4: Simplify right side
    5,234.58x = 16,606,705.66
  5. Step 5: Solve for x
    x = 16,606,705.66/5,234.58
  6. Step 6: Final answer
    x = 3,172.50

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1.5x scale

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.