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Finding the Fourth Proportional to 5,362.98, 8,048.25 and 2,402.16

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Solution

The fourth proportional to 5,362.98, 8,048.25 and 2,402.16 is: 3,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.98 : 8,048.25 = 2,402.16 : x
  2. Step 2: Convert to fraction form
    5,362.98/8,048.25 = 2,402.16/x
  3. Step 3: Cross multiply
    5,362.98x = 8,048.25 × 2,402.16
  4. Step 4: Simplify right side
    5,362.98x = 19,333,184.22
  5. Step 5: Solve for x
    x = 19,333,184.22/5,362.98
  6. Step 6: Final answer
    x = 3,604.93

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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.