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Finding the Fourth Proportional to 5,237.46, 7,855.47 and 1,341.63

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Solution

The fourth proportional to 5,237.46, 7,855.47 and 1,341.63 is: 2,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.46 : 7,855.47 = 1,341.63 : x
  2. Step 2: Convert to fraction form
    5,237.46/7,855.47 = 1,341.63/x
  3. Step 3: Cross multiply
    5,237.46x = 7,855.47 × 1,341.63
  4. Step 4: Simplify right side
    5,237.46x = 10,539,134.22
  5. Step 5: Solve for x
    x = 10,539,134.22/5,237.46
  6. Step 6: Final answer
    x = 2,012.26

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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.