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Finding the Fourth Proportional to 4,245.64, 6,368.66 and 2,056.20

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Solution

The fourth proportional to 4,245.64, 6,368.66 and 2,056.20 is: 3,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.64 : 6,368.66 = 2,056.20 : x
  2. Step 2: Convert to fraction form
    4,245.64/6,368.66 = 2,056.20/x
  3. Step 3: Cross multiply
    4,245.64x = 6,368.66 × 2,056.20
  4. Step 4: Simplify right side
    4,245.64x = 13,095,238.69
  5. Step 5: Solve for x
    x = 13,095,238.69/4,245.64
  6. Step 6: Final answer
    x = 3,084.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.