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Finding the Fourth Proportional to 5,620.49, 7,700.00 and 5,410.16

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Solution

The fourth proportional to 5,620.49, 7,700.00 and 5,410.16 is: 7,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.49 : 7,700.00 = 5,410.16 : x
  2. Step 2: Convert to fraction form
    5,620.49/7,700.00 = 5,410.16/x
  3. Step 3: Cross multiply
    5,620.49x = 7,700.00 × 5,410.16
  4. Step 4: Simplify right side
    5,620.49x = 41,658,195.32
  5. Step 5: Solve for x
    x = 41,658,195.32/5,620.49
  6. Step 6: Final answer
    x = 7,411.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.