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Finding the Fourth Proportional to 4,907.54, 6,763.30 and 3,646.59

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Solution

The fourth proportional to 4,907.54, 6,763.30 and 3,646.59 is: 5,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.54 : 6,763.30 = 3,646.59 : x
  2. Step 2: Convert to fraction form
    4,907.54/6,763.30 = 3,646.59/x
  3. Step 3: Cross multiply
    4,907.54x = 6,763.30 × 3,646.59
  4. Step 4: Simplify right side
    4,907.54x = 24,663,004.73
  5. Step 5: Solve for x
    x = 24,663,004.73/4,907.54
  6. Step 6: Final answer
    x = 5,025.54

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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.