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Finding the Fourth Proportional to 3,607.74, 5,412.62 and 1,142.49

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Solution

The fourth proportional to 3,607.74, 5,412.62 and 1,142.49 is: 1,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.74 : 5,412.62 = 1,142.49 : x
  2. Step 2: Convert to fraction form
    3,607.74/5,412.62 = 1,142.49/x
  3. Step 3: Cross multiply
    3,607.74x = 5,412.62 × 1,142.49
  4. Step 4: Simplify right side
    3,607.74x = 6,183,858.51
  5. Step 5: Solve for x
    x = 6,183,858.51/3,607.74
  6. Step 6: Final answer
    x = 1,714.05

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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.