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Finding the Fourth Proportional to 5,307.90, 7,959.69 and 2,385.42

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Solution

The fourth proportional to 5,307.90, 7,959.69 and 2,385.42 is: 3,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.90 : 7,959.69 = 2,385.42 : x
  2. Step 2: Convert to fraction form
    5,307.90/7,959.69 = 2,385.42/x
  3. Step 3: Cross multiply
    5,307.90x = 7,959.69 × 2,385.42
  4. Step 4: Simplify right side
    5,307.90x = 18,987,203.72
  5. Step 5: Solve for x
    x = 18,987,203.72/5,307.90
  6. Step 6: Final answer
    x = 3,577.16

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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.