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Finding the Fourth Proportional to 5,804.64, 8,014.47 and 5,127.27

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Solution

The fourth proportional to 5,804.64, 8,014.47 and 5,127.27 is: 7,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.64 : 8,014.47 = 5,127.27 : x
  2. Step 2: Convert to fraction form
    5,804.64/8,014.47 = 5,127.27/x
  3. Step 3: Cross multiply
    5,804.64x = 8,014.47 × 5,127.27
  4. Step 4: Simplify right side
    5,804.64x = 41,092,351.60
  5. Step 5: Solve for x
    x = 41,092,351.60/5,804.64
  6. Step 6: Final answer
    x = 7,079.22

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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.