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Finding the Fourth Proportional to 3,443.95, 4,745.28 and 3,160.86

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Solution

The fourth proportional to 3,443.95, 4,745.28 and 3,160.86 is: 4,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.95 : 4,745.28 = 3,160.86 : x
  2. Step 2: Convert to fraction form
    3,443.95/4,745.28 = 3,160.86/x
  3. Step 3: Cross multiply
    3,443.95x = 4,745.28 × 3,160.86
  4. Step 4: Simplify right side
    3,443.95x = 14,999,165.74
  5. Step 5: Solve for x
    x = 14,999,165.74/3,443.95
  6. Step 6: Final answer
    x = 4,355.22

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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.