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Finding the Fourth Proportional to 4,175.99, 5,762.64 and 2,287.47

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Solution

The fourth proportional to 4,175.99, 5,762.64 and 2,287.47 is: 3,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.99 : 5,762.64 = 2,287.47 : x
  2. Step 2: Convert to fraction form
    4,175.99/5,762.64 = 2,287.47/x
  3. Step 3: Cross multiply
    4,175.99x = 5,762.64 × 2,287.47
  4. Step 4: Simplify right side
    4,175.99x = 13,181,866.12
  5. Step 5: Solve for x
    x = 13,181,866.12/4,175.99
  6. Step 6: Final answer
    x = 3,156.58

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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.