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Finding the Fourth Proportional to 3,798.68, 5,698.04 and 1,948.77

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Solution

The fourth proportional to 3,798.68, 5,698.04 and 1,948.77 is: 2,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.68 : 5,698.04 = 1,948.77 : x
  2. Step 2: Convert to fraction form
    3,798.68/5,698.04 = 1,948.77/x
  3. Step 3: Cross multiply
    3,798.68x = 5,698.04 × 1,948.77
  4. Step 4: Simplify right side
    3,798.68x = 11,104,159.67
  5. Step 5: Solve for x
    x = 11,104,159.67/3,798.68
  6. Step 6: Final answer
    x = 2,923.17

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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.