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Finding the Fourth Proportional to 5,710.16, 7,873.96 and 4,448.98

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Solution

The fourth proportional to 5,710.16, 7,873.96 and 4,448.98 is: 6,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.16 : 7,873.96 = 4,448.98 : x
  2. Step 2: Convert to fraction form
    5,710.16/7,873.96 = 4,448.98/x
  3. Step 3: Cross multiply
    5,710.16x = 7,873.96 × 4,448.98
  4. Step 4: Simplify right side
    5,710.16x = 35,031,090.56
  5. Step 5: Solve for x
    x = 35,031,090.56/5,710.16
  6. Step 6: Final answer
    x = 6,134.87

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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.