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Finding the Fourth Proportional to 3,486.74, 4,811.76 and 1,914.98

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Solution

The fourth proportional to 3,486.74, 4,811.76 and 1,914.98 is: 2,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.74 : 4,811.76 = 1,914.98 : x
  2. Step 2: Convert to fraction form
    3,486.74/4,811.76 = 1,914.98/x
  3. Step 3: Cross multiply
    3,486.74x = 4,811.76 × 1,914.98
  4. Step 4: Simplify right side
    3,486.74x = 9,214,424.16
  5. Step 5: Solve for x
    x = 9,214,424.16/3,486.74
  6. Step 6: Final answer
    x = 2,642.70

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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.