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Finding the Fourth Proportional to 5,605.12, 7,727.83 and 4,593.06

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Solution

The fourth proportional to 5,605.12, 7,727.83 and 4,593.06 is: 6,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.12 : 7,727.83 = 4,593.06 : x
  2. Step 2: Convert to fraction form
    5,605.12/7,727.83 = 4,593.06/x
  3. Step 3: Cross multiply
    5,605.12x = 7,727.83 × 4,593.06
  4. Step 4: Simplify right side
    5,605.12x = 35,494,386.86
  5. Step 5: Solve for x
    x = 35,494,386.86/5,605.12
  6. Step 6: Final answer
    x = 6,332.49

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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.