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Finding the Fourth Proportional to 3,953.86, 5,931.14 and 1,032.19

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Solution

The fourth proportional to 3,953.86, 5,931.14 and 1,032.19 is: 1,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.86 : 5,931.14 = 1,032.19 : x
  2. Step 2: Convert to fraction form
    3,953.86/5,931.14 = 1,032.19/x
  3. Step 3: Cross multiply
    3,953.86x = 5,931.14 × 1,032.19
  4. Step 4: Simplify right side
    3,953.86x = 6,122,063.40
  5. Step 5: Solve for x
    x = 6,122,063.40/3,953.86
  6. Step 6: Final answer
    x = 1,548.38

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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.