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Finding the Fourth Proportional to 5,570.99, 7,688.13 and 3,053.32

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Solution

The fourth proportional to 5,570.99, 7,688.13 and 3,053.32 is: 4,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.99 : 7,688.13 = 3,053.32 : x
  2. Step 2: Convert to fraction form
    5,570.99/7,688.13 = 3,053.32/x
  3. Step 3: Cross multiply
    5,570.99x = 7,688.13 × 3,053.32
  4. Step 4: Simplify right side
    5,570.99x = 23,474,321.09
  5. Step 5: Solve for x
    x = 23,474,321.09/5,570.99
  6. Step 6: Final answer
    x = 4,213.67

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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.