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Finding the Fourth Proportional to 3,370.68, 4,656.08 and 3,056.30

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Solution

The fourth proportional to 3,370.68, 4,656.08 and 3,056.30 is: 4,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.68 : 4,656.08 = 3,056.30 : x
  2. Step 2: Convert to fraction form
    3,370.68/4,656.08 = 3,056.30/x
  3. Step 3: Cross multiply
    3,370.68x = 4,656.08 × 3,056.30
  4. Step 4: Simplify right side
    3,370.68x = 14,230,338.74
  5. Step 5: Solve for x
    x = 14,230,338.74/3,370.68
  6. Step 6: Final answer
    x = 4,221.80

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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.