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Finding the Fourth Proportional to 4,561.65, 6,812.91 and 4,153.41

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Solution

The fourth proportional to 4,561.65, 6,812.91 and 4,153.41 is: 6,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.65 : 6,812.91 = 4,153.41 : x
  2. Step 2: Convert to fraction form
    4,561.65/6,812.91 = 4,153.41/x
  3. Step 3: Cross multiply
    4,561.65x = 6,812.91 × 4,153.41
  4. Step 4: Simplify right side
    4,561.65x = 28,296,808.52
  5. Step 5: Solve for x
    x = 28,296,808.52/4,561.65
  6. Step 6: Final answer
    x = 6,203.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.