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Finding the Fourth Proportional to 4,307.87, 6,456.30 and 3,750.30

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Solution

The fourth proportional to 4,307.87, 6,456.30 and 3,750.30 is: 5,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.87 : 6,456.30 = 3,750.30 : x
  2. Step 2: Convert to fraction form
    4,307.87/6,456.30 = 3,750.30/x
  3. Step 3: Cross multiply
    4,307.87x = 6,456.30 × 3,750.30
  4. Step 4: Simplify right side
    4,307.87x = 24,213,061.89
  5. Step 5: Solve for x
    x = 24,213,061.89/4,307.87
  6. Step 6: Final answer
    x = 5,620.66

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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.