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Finding the Fourth Proportional to 3,495.68, 5,243.52 and 1,187

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Solution

The fourth proportional to 3,495.68, 5,243.52 and 1,187 is: 1,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.68 : 5,243.52 = 1,187 : x
  2. Step 2: Convert to fraction form
    3,495.68/5,243.52 = 1,187/x
  3. Step 3: Cross multiply
    3,495.68x = 5,243.52 × 1,187
  4. Step 4: Simplify right side
    3,495.68x = 6,224,058.24
  5. Step 5: Solve for x
    x = 6,224,058.24/3,495.68
  6. Step 6: Final answer
    x = 1,780.50

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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.