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Finding the Fourth Proportional to 3,435.12, 4,734 and 3,155.76

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Solution

The fourth proportional to 3,435.12, 4,734 and 3,155.76 is: 4,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.12 : 4,734 = 3,155.76 : x
  2. Step 2: Convert to fraction form
    3,435.12/4,734 = 3,155.76/x
  3. Step 3: Cross multiply
    3,435.12x = 4,734 × 3,155.76
  4. Step 4: Simplify right side
    3,435.12x = 14,939,367.84
  5. Step 5: Solve for x
    x = 14,939,367.84/3,435.12
  6. Step 6: Final answer
    x = 4,349.01

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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.