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Finding the Fourth Proportional to 3,538.56, 4,893.82 and 3,095.70

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Solution

The fourth proportional to 3,538.56, 4,893.82 and 3,095.70 is: 4,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.56 : 4,893.82 = 3,095.70 : x
  2. Step 2: Convert to fraction form
    3,538.56/4,893.82 = 3,095.70/x
  3. Step 3: Cross multiply
    3,538.56x = 4,893.82 × 3,095.70
  4. Step 4: Simplify right side
    3,538.56x = 15,149,798.57
  5. Step 5: Solve for x
    x = 15,149,798.57/3,538.56
  6. Step 6: Final answer
    x = 4,281.35

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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.