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Finding the Fourth Proportional to 5,174.58, 7,762.13 and 1,477.36

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Solution

The fourth proportional to 5,174.58, 7,762.13 and 1,477.36 is: 2,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.58 : 7,762.13 = 1,477.36 : x
  2. Step 2: Convert to fraction form
    5,174.58/7,762.13 = 1,477.36/x
  3. Step 3: Cross multiply
    5,174.58x = 7,762.13 × 1,477.36
  4. Step 4: Simplify right side
    5,174.58x = 11,467,460.38
  5. Step 5: Solve for x
    x = 11,467,460.38/5,174.58
  6. Step 6: Final answer
    x = 2,216.11

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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.