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Finding the Fourth Proportional to 3,439.26, 5,157.68 and 973.35

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Solution

The fourth proportional to 3,439.26, 5,157.68 and 973.35 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.26 : 5,157.68 = 973.35 : x
  2. Step 2: Convert to fraction form
    3,439.26/5,157.68 = 973.35/x
  3. Step 3: Cross multiply
    3,439.26x = 5,157.68 × 973.35
  4. Step 4: Simplify right side
    3,439.26x = 5,020,222.96
  5. Step 5: Solve for x
    x = 5,020,222.96/3,439.26
  6. Step 6: Final answer
    x = 1,459.68

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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.