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Finding the Fourth Proportional to 5,572.65, 7,690.50 and 3,054.99

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Solution

The fourth proportional to 5,572.65, 7,690.50 and 3,054.99 is: 4,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.65 : 7,690.50 = 3,054.99 : x
  2. Step 2: Convert to fraction form
    5,572.65/7,690.50 = 3,054.99/x
  3. Step 3: Cross multiply
    5,572.65x = 7,690.50 × 3,054.99
  4. Step 4: Simplify right side
    5,572.65x = 23,494,400.60
  5. Step 5: Solve for x
    x = 23,494,400.60/5,572.65
  6. Step 6: Final answer
    x = 4,216.02

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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.