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Finding the Fourth Proportional to 3,570.25, 5,355.45 and 973.26

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Solution

The fourth proportional to 3,570.25, 5,355.45 and 973.26 is: 1,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.25 : 5,355.45 = 973.26 : x
  2. Step 2: Convert to fraction form
    3,570.25/5,355.45 = 973.26/x
  3. Step 3: Cross multiply
    3,570.25x = 5,355.45 × 973.26
  4. Step 4: Simplify right side
    3,570.25x = 5,212,245.27
  5. Step 5: Solve for x
    x = 5,212,245.27/3,570.25
  6. Step 6: Final answer
    x = 1,459.91

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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.