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Finding the Fourth Proportional to 4,946.47, 7,419.69 and 1,249.00

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Solution

The fourth proportional to 4,946.47, 7,419.69 and 1,249.00 is: 1,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.47 : 7,419.69 = 1,249.00 : x
  2. Step 2: Convert to fraction form
    4,946.47/7,419.69 = 1,249.00/x
  3. Step 3: Cross multiply
    4,946.47x = 7,419.69 × 1,249.00
  4. Step 4: Simplify right side
    4,946.47x = 9,267,155.71
  5. Step 5: Solve for x
    x = 9,267,155.71/4,946.47
  6. Step 6: Final answer
    x = 1,873.49

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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.