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Finding the Fourth Proportional to 3,335.64, 4,603.32 and 2,077.44

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Solution

The fourth proportional to 3,335.64, 4,603.32 and 2,077.44 is: 2,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.64 : 4,603.32 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    3,335.64/4,603.32 = 2,077.44/x
  3. Step 3: Cross multiply
    3,335.64x = 4,603.32 × 2,077.44
  4. Step 4: Simplify right side
    3,335.64x = 9,563,121.10
  5. Step 5: Solve for x
    x = 9,563,121.10/3,335.64
  6. Step 6: Final answer
    x = 2,866.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.