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Finding the Fourth Proportional to 3,697.13, 5,095.35 and 3,064.32

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Solution

The fourth proportional to 3,697.13, 5,095.35 and 3,064.32 is: 4,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.13 : 5,095.35 = 3,064.32 : x
  2. Step 2: Convert to fraction form
    3,697.13/5,095.35 = 3,064.32/x
  3. Step 3: Cross multiply
    3,697.13x = 5,095.35 × 3,064.32
  4. Step 4: Simplify right side
    3,697.13x = 15,613,782.91
  5. Step 5: Solve for x
    x = 15,613,782.91/3,697.13
  6. Step 6: Final answer
    x = 4,223.22

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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.