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Finding the Fourth Proportional to 3,537.80, 5,300.30 and 3,307.40

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Solution

The fourth proportional to 3,537.80, 5,300.30 and 3,307.40 is: 4,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.80 : 5,300.30 = 3,307.40 : x
  2. Step 2: Convert to fraction form
    3,537.80/5,300.30 = 3,307.40/x
  3. Step 3: Cross multiply
    3,537.80x = 5,300.30 × 3,307.40
  4. Step 4: Simplify right side
    3,537.80x = 17,530,212.22
  5. Step 5: Solve for x
    x = 17,530,212.22/3,537.80
  6. Step 6: Final answer
    x = 4,955.12

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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.