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Finding the Fourth Proportional to 3,887.42, 5,829.71 and 1,421.51

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Solution

The fourth proportional to 3,887.42, 5,829.71 and 1,421.51 is: 2,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.42 : 5,829.71 = 1,421.51 : x
  2. Step 2: Convert to fraction form
    3,887.42/5,829.71 = 1,421.51/x
  3. Step 3: Cross multiply
    3,887.42x = 5,829.71 × 1,421.51
  4. Step 4: Simplify right side
    3,887.42x = 8,286,954.81
  5. Step 5: Solve for x
    x = 8,286,954.81/3,887.42
  6. Step 6: Final answer
    x = 2,131.74

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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.