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Finding the Fourth Proportional to 5,235.24, 7,814.40 and 4,796.88

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Solution

The fourth proportional to 5,235.24, 7,814.40 and 4,796.88 is: 7,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.24 : 7,814.40 = 4,796.88 : x
  2. Step 2: Convert to fraction form
    5,235.24/7,814.40 = 4,796.88/x
  3. Step 3: Cross multiply
    5,235.24x = 7,814.40 × 4,796.88
  4. Step 4: Simplify right side
    5,235.24x = 37,484,739.07
  5. Step 5: Solve for x
    x = 37,484,739.07/5,235.24
  6. Step 6: Final answer
    x = 7,160.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.