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Finding the Fourth Proportional to 3,495.57, 5,243.32 and 1,415.01

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Solution

The fourth proportional to 3,495.57, 5,243.32 and 1,415.01 is: 2,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.57 : 5,243.32 = 1,415.01 : x
  2. Step 2: Convert to fraction form
    3,495.57/5,243.32 = 1,415.01/x
  3. Step 3: Cross multiply
    3,495.57x = 5,243.32 × 1,415.01
  4. Step 4: Simplify right side
    3,495.57x = 7,419,363.34
  5. Step 5: Solve for x
    x = 7,419,363.34/3,495.57
  6. Step 6: Final answer
    x = 2,122.50

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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.