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Finding the Fourth Proportional to 3,495.51, 5,243.22 and 1,415.49

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Solution

The fourth proportional to 3,495.51, 5,243.22 and 1,415.49 is: 2,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.51 : 5,243.22 = 1,415.49 : x
  2. Step 2: Convert to fraction form
    3,495.51/5,243.22 = 1,415.49/x
  3. Step 3: Cross multiply
    3,495.51x = 5,243.22 × 1,415.49
  4. Step 4: Simplify right side
    3,495.51x = 7,421,725.48
  5. Step 5: Solve for x
    x = 7,421,725.48/3,495.51
  6. Step 6: Final answer
    x = 2,123.22

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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.