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Finding the Fourth Proportional to 5,153.16, 7,723.26 and 3,695.16

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Solution

The fourth proportional to 5,153.16, 7,723.26 and 3,695.16 is: 5,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.16 : 7,723.26 = 3,695.16 : x
  2. Step 2: Convert to fraction form
    5,153.16/7,723.26 = 3,695.16/x
  3. Step 3: Cross multiply
    5,153.16x = 7,723.26 × 3,695.16
  4. Step 4: Simplify right side
    5,153.16x = 28,538,681.42
  5. Step 5: Solve for x
    x = 28,538,681.42/5,153.16
  6. Step 6: Final answer
    x = 5,538.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.