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Finding the Fourth Proportional to 5,762.88, 7,952.04 and 3,404.16

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Solution

The fourth proportional to 5,762.88, 7,952.04 and 3,404.16 is: 4,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.88 : 7,952.04 = 3,404.16 : x
  2. Step 2: Convert to fraction form
    5,762.88/7,952.04 = 3,404.16/x
  3. Step 3: Cross multiply
    5,762.88x = 7,952.04 × 3,404.16
  4. Step 4: Simplify right side
    5,762.88x = 27,070,016.49
  5. Step 5: Solve for x
    x = 27,070,016.49/5,762.88
  6. Step 6: Final answer
    x = 4,697.31

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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.