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Finding the Fourth Proportional to 5,642.12, 8,466.06 and 4,829.96

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Solution

The fourth proportional to 5,642.12, 8,466.06 and 4,829.96 is: 7,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.12 : 8,466.06 = 4,829.96 : x
  2. Step 2: Convert to fraction form
    5,642.12/8,466.06 = 4,829.96/x
  3. Step 3: Cross multiply
    5,642.12x = 8,466.06 × 4,829.96
  4. Step 4: Simplify right side
    5,642.12x = 40,890,731.16
  5. Step 5: Solve for x
    x = 40,890,731.16/5,642.12
  6. Step 6: Final answer
    x = 7,247.41

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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.