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Finding the Fourth Proportional to 3,415.32, 5,118.80 and 1,930.86

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Solution

The fourth proportional to 3,415.32, 5,118.80 and 1,930.86 is: 2,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.32 : 5,118.80 = 1,930.86 : x
  2. Step 2: Convert to fraction form
    3,415.32/5,118.80 = 1,930.86/x
  3. Step 3: Cross multiply
    3,415.32x = 5,118.80 × 1,930.86
  4. Step 4: Simplify right side
    3,415.32x = 9,883,686.17
  5. Step 5: Solve for x
    x = 9,883,686.17/3,415.32
  6. Step 6: Final answer
    x = 2,893.93

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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.