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Finding the Fourth Proportional to 5,587.13, 7,710.22 and 3,164.45

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Solution

The fourth proportional to 5,587.13, 7,710.22 and 3,164.45 is: 4,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.13 : 7,710.22 = 3,164.45 : x
  2. Step 2: Convert to fraction form
    5,587.13/7,710.22 = 3,164.45/x
  3. Step 3: Cross multiply
    5,587.13x = 7,710.22 × 3,164.45
  4. Step 4: Simplify right side
    5,587.13x = 24,398,605.68
  5. Step 5: Solve for x
    x = 24,398,605.68/5,587.13
  6. Step 6: Final answer
    x = 4,366.93

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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.