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Finding the Fourth Proportional to 5,739.06, 8,564.23 and 5,117.82

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Solution

The fourth proportional to 5,739.06, 8,564.23 and 5,117.82 is: 7,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.06 : 8,564.23 = 5,117.82 : x
  2. Step 2: Convert to fraction form
    5,739.06/8,564.23 = 5,117.82/x
  3. Step 3: Cross multiply
    5,739.06x = 8,564.23 × 5,117.82
  4. Step 4: Simplify right side
    5,739.06x = 43,830,187.58
  5. Step 5: Solve for x
    x = 43,830,187.58/5,739.06
  6. Step 6: Final answer
    x = 7,637.17

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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.