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Finding the Fourth Proportional to 6,212.74, 8,574.21 and 3,560.50

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Solution

The fourth proportional to 6,212.74, 8,574.21 and 3,560.50 is: 4,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.74 : 8,574.21 = 3,560.50 : x
  2. Step 2: Convert to fraction form
    6,212.74/8,574.21 = 3,560.50/x
  3. Step 3: Cross multiply
    6,212.74x = 8,574.21 × 3,560.50
  4. Step 4: Simplify right side
    6,212.74x = 30,528,474.71
  5. Step 5: Solve for x
    x = 30,528,474.71/6,212.74
  6. Step 6: Final answer
    x = 4,913.85

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