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Finding the Fourth Proportional to 6,056.39, 8,357.70 and 3,698.53

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Solution

The fourth proportional to 6,056.39, 8,357.70 and 3,698.53 is: 5,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.39 : 8,357.70 = 3,698.53 : x
  2. Step 2: Convert to fraction form
    6,056.39/8,357.70 = 3,698.53/x
  3. Step 3: Cross multiply
    6,056.39x = 8,357.70 × 3,698.53
  4. Step 4: Simplify right side
    6,056.39x = 30,911,204.18
  5. Step 5: Solve for x
    x = 30,911,204.18/6,056.39
  6. Step 6: Final answer
    x = 5,103.90

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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.