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Finding the Fourth Proportional to 5,307.42, 7,325.04 and 3,820.26

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Solution

The fourth proportional to 5,307.42, 7,325.04 and 3,820.26 is: 5,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.42 : 7,325.04 = 3,820.26 : x
  2. Step 2: Convert to fraction form
    5,307.42/7,325.04 = 3,820.26/x
  3. Step 3: Cross multiply
    5,307.42x = 7,325.04 × 3,820.26
  4. Step 4: Simplify right side
    5,307.42x = 27,983,557.31
  5. Step 5: Solve for x
    x = 27,983,557.31/5,307.42
  6. Step 6: Final answer
    x = 5,272.53

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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.