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Finding the Fourth Proportional to 3,385.16, 5,077.71 and 919.95

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Solution

The fourth proportional to 3,385.16, 5,077.71 and 919.95 is: 1,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.16 : 5,077.71 = 919.95 : x
  2. Step 2: Convert to fraction form
    3,385.16/5,077.71 = 919.95/x
  3. Step 3: Cross multiply
    3,385.16x = 5,077.71 × 919.95
  4. Step 4: Simplify right side
    3,385.16x = 4,671,239.31
  5. Step 5: Solve for x
    x = 4,671,239.31/3,385.16
  6. Step 6: Final answer
    x = 1,379.92

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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.