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Finding the Fourth Proportional to 3,433.99, 4,738.91 and 1,862.07

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Solution

The fourth proportional to 3,433.99, 4,738.91 and 1,862.07 is: 2,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.99 : 4,738.91 = 1,862.07 : x
  2. Step 2: Convert to fraction form
    3,433.99/4,738.91 = 1,862.07/x
  3. Step 3: Cross multiply
    3,433.99x = 4,738.91 × 1,862.07
  4. Step 4: Simplify right side
    3,433.99x = 8,824,182.14
  5. Step 5: Solve for x
    x = 8,824,182.14/3,433.99
  6. Step 6: Final answer
    x = 2,569.66

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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.