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Finding the Fourth Proportional to 5,617.66, 7,752.31 and 3,099.79

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Solution

The fourth proportional to 5,617.66, 7,752.31 and 3,099.79 is: 4,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.66 : 7,752.31 = 3,099.79 : x
  2. Step 2: Convert to fraction form
    5,617.66/7,752.31 = 3,099.79/x
  3. Step 3: Cross multiply
    5,617.66x = 7,752.31 × 3,099.79
  4. Step 4: Simplify right side
    5,617.66x = 24,030,533.01
  5. Step 5: Solve for x
    x = 24,030,533.01/5,617.66
  6. Step 6: Final answer
    x = 4,277.68

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1.5x scale

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.