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Finding the Fourth Proportional to 3,307.25, 4,564.14 and 1,910

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Solution

The fourth proportional to 3,307.25, 4,564.14 and 1,910 is: 2,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.25 : 4,564.14 = 1,910 : x
  2. Step 2: Convert to fraction form
    3,307.25/4,564.14 = 1,910/x
  3. Step 3: Cross multiply
    3,307.25x = 4,564.14 × 1,910
  4. Step 4: Simplify right side
    3,307.25x = 8,717,507.40
  5. Step 5: Solve for x
    x = 8,717,507.40/3,307.25
  6. Step 6: Final answer
    x = 2,635.88

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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.