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Finding the Fourth Proportional to 3,934.99, 5,430.09 and 2,537.74

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Solution

The fourth proportional to 3,934.99, 5,430.09 and 2,537.74 is: 3,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.99 : 5,430.09 = 2,537.74 : x
  2. Step 2: Convert to fraction form
    3,934.99/5,430.09 = 2,537.74/x
  3. Step 3: Cross multiply
    3,934.99x = 5,430.09 × 2,537.74
  4. Step 4: Simplify right side
    3,934.99x = 13,780,156.60
  5. Step 5: Solve for x
    x = 13,780,156.60/3,934.99
  6. Step 6: Final answer
    x = 3,501.95

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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.