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Finding the Fourth Proportional to 3,495.48, 5,237.74 and 1,646.25

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Solution

The fourth proportional to 3,495.48, 5,237.74 and 1,646.25 is: 2,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.48 : 5,237.74 = 1,646.25 : x
  2. Step 2: Convert to fraction form
    3,495.48/5,237.74 = 1,646.25/x
  3. Step 3: Cross multiply
    3,495.48x = 5,237.74 × 1,646.25
  4. Step 4: Simplify right side
    3,495.48x = 8,622,629.48
  5. Step 5: Solve for x
    x = 8,622,629.48/3,495.48
  6. Step 6: Final answer
    x = 2,466.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.