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Finding the Fourth Proportional to 5,707.04, 7,872.72 and 3,844.64

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Solution

The fourth proportional to 5,707.04, 7,872.72 and 3,844.64 is: 5,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.04 : 7,872.72 = 3,844.64 : x
  2. Step 2: Convert to fraction form
    5,707.04/7,872.72 = 3,844.64/x
  3. Step 3: Cross multiply
    5,707.04x = 7,872.72 × 3,844.64
  4. Step 4: Simplify right side
    5,707.04x = 30,267,774.22
  5. Step 5: Solve for x
    x = 30,267,774.22/5,707.04
  6. Step 6: Final answer
    x = 5,303.59

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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.