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Finding the Fourth Proportional to 3,437.69, 5,155.92 and 971.96

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Solution

The fourth proportional to 3,437.69, 5,155.92 and 971.96 is: 1,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.69 : 5,155.92 = 971.96 : x
  2. Step 2: Convert to fraction form
    3,437.69/5,155.92 = 971.96/x
  3. Step 3: Cross multiply
    3,437.69x = 5,155.92 × 971.96
  4. Step 4: Simplify right side
    3,437.69x = 5,011,322.22
  5. Step 5: Solve for x
    x = 5,011,322.22/3,437.69
  6. Step 6: Final answer
    x = 1,457.76

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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.