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Finding the Fourth Proportional to 5,101.67, 7,024.19 and 4,634.52

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Solution

The fourth proportional to 5,101.67, 7,024.19 and 4,634.52 is: 6,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.67 : 7,024.19 = 4,634.52 : x
  2. Step 2: Convert to fraction form
    5,101.67/7,024.19 = 4,634.52/x
  3. Step 3: Cross multiply
    5,101.67x = 7,024.19 × 4,634.52
  4. Step 4: Simplify right side
    5,101.67x = 32,553,739.04
  5. Step 5: Solve for x
    x = 32,553,739.04/5,101.67
  6. Step 6: Final answer
    x = 6,381.00

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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.