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Finding the Fourth Proportional to 3,506.49, 5,256.90 and 1,427.49

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Solution

The fourth proportional to 3,506.49, 5,256.90 and 1,427.49 is: 2,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.49 : 5,256.90 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    3,506.49/5,256.90 = 1,427.49/x
  3. Step 3: Cross multiply
    3,506.49x = 5,256.90 × 1,427.49
  4. Step 4: Simplify right side
    3,506.49x = 7,504,172.18
  5. Step 5: Solve for x
    x = 7,504,172.18/3,506.49
  6. Step 6: Final answer
    x = 2,140.08

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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.