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Finding the Fourth Proportional to 3,570.22, 5,355.30 and 973.16

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Solution

The fourth proportional to 3,570.22, 5,355.30 and 973.16 is: 1,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.22 : 5,355.30 = 973.16 : x
  2. Step 2: Convert to fraction form
    3,570.22/5,355.30 = 973.16/x
  3. Step 3: Cross multiply
    3,570.22x = 5,355.30 × 973.16
  4. Step 4: Simplify right side
    3,570.22x = 5,211,563.75
  5. Step 5: Solve for x
    x = 5,211,563.75/3,570.22
  6. Step 6: Final answer
    x = 1,459.73

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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.