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Finding the Fourth Proportional to 3,417.54, 5,121.64 and 3,076.12

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Solution

The fourth proportional to 3,417.54, 5,121.64 and 3,076.12 is: 4,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.54 : 5,121.64 = 3,076.12 : x
  2. Step 2: Convert to fraction form
    3,417.54/5,121.64 = 3,076.12/x
  3. Step 3: Cross multiply
    3,417.54x = 5,121.64 × 3,076.12
  4. Step 4: Simplify right side
    3,417.54x = 15,754,779.24
  5. Step 5: Solve for x
    x = 15,754,779.24/3,417.54
  6. Step 6: Final answer
    x = 4,609.98

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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.