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Finding the Fourth Proportional to 4,566.16, 6,845.12 and 1,642.41

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Solution

The fourth proportional to 4,566.16, 6,845.12 and 1,642.41 is: 2,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.16 : 6,845.12 = 1,642.41 : x
  2. Step 2: Convert to fraction form
    4,566.16/6,845.12 = 1,642.41/x
  3. Step 3: Cross multiply
    4,566.16x = 6,845.12 × 1,642.41
  4. Step 4: Simplify right side
    4,566.16x = 11,242,497.65
  5. Step 5: Solve for x
    x = 11,242,497.65/4,566.16
  6. Step 6: Final answer
    x = 2,462.14

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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.