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Finding the Fourth Proportional to 3,675.16, 5,506.85 and 3,302.15

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Solution

The fourth proportional to 3,675.16, 5,506.85 and 3,302.15 is: 4,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.16 : 5,506.85 = 3,302.15 : x
  2. Step 2: Convert to fraction form
    3,675.16/5,506.85 = 3,302.15/x
  3. Step 3: Cross multiply
    3,675.16x = 5,506.85 × 3,302.15
  4. Step 4: Simplify right side
    3,675.16x = 18,184,444.73
  5. Step 5: Solve for x
    x = 18,184,444.73/3,675.16
  6. Step 6: Final answer
    x = 4,947.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.