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Finding the Fourth Proportional to 3,437.67, 4,741.54 and 3,155.00

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Solution

The fourth proportional to 3,437.67, 4,741.54 and 3,155.00 is: 4,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.67 : 4,741.54 = 3,155.00 : x
  2. Step 2: Convert to fraction form
    3,437.67/4,741.54 = 3,155.00/x
  3. Step 3: Cross multiply
    3,437.67x = 4,741.54 × 3,155.00
  4. Step 4: Simplify right side
    3,437.67x = 14,959,562.67
  5. Step 5: Solve for x
    x = 14,959,562.67/3,437.67
  6. Step 6: Final answer
    x = 4,351.65

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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.