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Finding the Fourth Proportional to 3,507.93, 5,261.91 and 910.89

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Solution

The fourth proportional to 3,507.93, 5,261.91 and 910.89 is: 1,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.93 : 5,261.91 = 910.89 : x
  2. Step 2: Convert to fraction form
    3,507.93/5,261.91 = 910.89/x
  3. Step 3: Cross multiply
    3,507.93x = 5,261.91 × 910.89
  4. Step 4: Simplify right side
    3,507.93x = 4,793,021.20
  5. Step 5: Solve for x
    x = 4,793,021.20/3,507.93
  6. Step 6: Final answer
    x = 1,366.34

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