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Finding the Fourth Proportional to 5,071.25, 7,607.84 and 2,335.25

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Solution

The fourth proportional to 5,071.25, 7,607.84 and 2,335.25 is: 3,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.25 : 7,607.84 = 2,335.25 : x
  2. Step 2: Convert to fraction form
    5,071.25/7,607.84 = 2,335.25/x
  3. Step 3: Cross multiply
    5,071.25x = 7,607.84 × 2,335.25
  4. Step 4: Simplify right side
    5,071.25x = 17,766,196.68
  5. Step 5: Solve for x
    x = 17,766,196.68/5,071.25
  6. Step 6: Final answer
    x = 3,503.32

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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.