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Finding the Fourth Proportional to 4,275.86, 5,902.34 and 3,675.98

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Solution

The fourth proportional to 4,275.86, 5,902.34 and 3,675.98 is: 5,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.86 : 5,902.34 = 3,675.98 : x
  2. Step 2: Convert to fraction form
    4,275.86/5,902.34 = 3,675.98/x
  3. Step 3: Cross multiply
    4,275.86x = 5,902.34 × 3,675.98
  4. Step 4: Simplify right side
    4,275.86x = 21,696,880.17
  5. Step 5: Solve for x
    x = 21,696,880.17/4,275.86
  6. Step 6: Final answer
    x = 5,074.28

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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.