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Finding the Fourth Proportional to 3,433.98, 4,738.88 and 1,862.06

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Solution

The fourth proportional to 3,433.98, 4,738.88 and 1,862.06 is: 2,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.98 : 4,738.88 = 1,862.06 : x
  2. Step 2: Convert to fraction form
    3,433.98/4,738.88 = 1,862.06/x
  3. Step 3: Cross multiply
    3,433.98x = 4,738.88 × 1,862.06
  4. Step 4: Simplify right side
    3,433.98x = 8,824,095.40
  5. Step 5: Solve for x
    x = 8,824,095.40/3,433.98
  6. Step 6: Final answer
    x = 2,569.64

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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.