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Finding the Fourth Proportional to 3,970.83, 5,956.60 and 1,049.14

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Solution

The fourth proportional to 3,970.83, 5,956.60 and 1,049.14 is: 1,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.83 : 5,956.60 = 1,049.14 : x
  2. Step 2: Convert to fraction form
    3,970.83/5,956.60 = 1,049.14/x
  3. Step 3: Cross multiply
    3,970.83x = 5,956.60 × 1,049.14
  4. Step 4: Simplify right side
    3,970.83x = 6,249,280.61
  5. Step 5: Solve for x
    x = 6,249,280.61/3,970.83
  6. Step 6: Final answer
    x = 1,573.80

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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.