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Finding the Fourth Proportional to 3,951.47, 5,926.70 and 1,030.01

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Solution

The fourth proportional to 3,951.47, 5,926.70 and 1,030.01 is: 1,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.47 : 5,926.70 = 1,030.01 : x
  2. Step 2: Convert to fraction form
    3,951.47/5,926.70 = 1,030.01/x
  3. Step 3: Cross multiply
    3,951.47x = 5,926.70 × 1,030.01
  4. Step 4: Simplify right side
    3,951.47x = 6,104,533.21
  5. Step 5: Solve for x
    x = 6,104,533.21/3,951.47
  6. Step 6: Final answer
    x = 1,544.88

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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.