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Finding the Fourth Proportional to 5,477.13, 7,572.84 and 5,232.33

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Solution

The fourth proportional to 5,477.13, 7,572.84 and 5,232.33 is: 7,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.13 : 7,572.84 = 5,232.33 : x
  2. Step 2: Convert to fraction form
    5,477.13/7,572.84 = 5,232.33/x
  3. Step 3: Cross multiply
    5,477.13x = 7,572.84 × 5,232.33
  4. Step 4: Simplify right side
    5,477.13x = 39,623,533.89
  5. Step 5: Solve for x
    x = 39,623,533.89/5,477.13
  6. Step 6: Final answer
    x = 7,234.37

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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.