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Finding the Fourth Proportional to 4,610.90, 6,907.44 and 3,046.16

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Solution

The fourth proportional to 4,610.90, 6,907.44 and 3,046.16 is: 4,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.90 : 6,907.44 = 3,046.16 : x
  2. Step 2: Convert to fraction form
    4,610.90/6,907.44 = 3,046.16/x
  3. Step 3: Cross multiply
    4,610.90x = 6,907.44 × 3,046.16
  4. Step 4: Simplify right side
    4,610.90x = 21,041,167.43
  5. Step 5: Solve for x
    x = 21,041,167.43/4,610.90
  6. Step 6: Final answer
    x = 4,563.35

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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.