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Finding the Fourth Proportional to 3,486.24, 4,811.76 and 1,994.40

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Solution

The fourth proportional to 3,486.24, 4,811.76 and 1,994.40 is: 2,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.24 : 4,811.76 = 1,994.40 : x
  2. Step 2: Convert to fraction form
    3,486.24/4,811.76 = 1,994.40/x
  3. Step 3: Cross multiply
    3,486.24x = 4,811.76 × 1,994.40
  4. Step 4: Simplify right side
    3,486.24x = 9,596,574.14
  5. Step 5: Solve for x
    x = 9,596,574.14/3,486.24
  6. Step 6: Final answer
    x = 2,752.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.