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Finding the Fourth Proportional to 4,218.72, 5,820 and 2,539.17

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Solution

The fourth proportional to 4,218.72, 5,820 and 2,539.17 is: 3,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.72 : 5,820 = 2,539.17 : x
  2. Step 2: Convert to fraction form
    4,218.72/5,820 = 2,539.17/x
  3. Step 3: Cross multiply
    4,218.72x = 5,820 × 2,539.17
  4. Step 4: Simplify right side
    4,218.72x = 14,777,969.40
  5. Step 5: Solve for x
    x = 14,777,969.40/4,218.72
  6. Step 6: Final answer
    x = 3,502.95

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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.