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Finding the Fourth Proportional to 4,907.57, 7,356.90 and 1,785.37

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Solution

The fourth proportional to 4,907.57, 7,356.90 and 1,785.37 is: 2,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.57 : 7,356.90 = 1,785.37 : x
  2. Step 2: Convert to fraction form
    4,907.57/7,356.90 = 1,785.37/x
  3. Step 3: Cross multiply
    4,907.57x = 7,356.90 × 1,785.37
  4. Step 4: Simplify right side
    4,907.57x = 13,134,788.55
  5. Step 5: Solve for x
    x = 13,134,788.55/4,907.57
  6. Step 6: Final answer
    x = 2,676.43

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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.