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Finding the Fourth Proportional to 4,631.67, 6,952.19 and 4,108.01

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Solution

The fourth proportional to 4,631.67, 6,952.19 and 4,108.01 is: 6,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.67 : 6,952.19 = 4,108.01 : x
  2. Step 2: Convert to fraction form
    4,631.67/6,952.19 = 4,108.01/x
  3. Step 3: Cross multiply
    4,631.67x = 6,952.19 × 4,108.01
  4. Step 4: Simplify right side
    4,631.67x = 28,559,610.74
  5. Step 5: Solve for x
    x = 28,559,610.74/4,631.67
  6. Step 6: Final answer
    x = 6,166.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.