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Finding the Fourth Proportional to 5,297.16, 7,305.95 and 3,703.28

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Solution

The fourth proportional to 5,297.16, 7,305.95 and 3,703.28 is: 5,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.16 : 7,305.95 = 3,703.28 : x
  2. Step 2: Convert to fraction form
    5,297.16/7,305.95 = 3,703.28/x
  3. Step 3: Cross multiply
    5,297.16x = 7,305.95 × 3,703.28
  4. Step 4: Simplify right side
    5,297.16x = 27,055,960.00
  5. Step 5: Solve for x
    x = 27,055,960.00/5,297.16
  6. Step 6: Final answer
    x = 5,107.64

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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.