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Finding the Fourth Proportional to 4,678.64, 7,014.23 and 2,702.02

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Solution

The fourth proportional to 4,678.64, 7,014.23 and 2,702.02 is: 4,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.64 : 7,014.23 = 2,702.02 : x
  2. Step 2: Convert to fraction form
    4,678.64/7,014.23 = 2,702.02/x
  3. Step 3: Cross multiply
    4,678.64x = 7,014.23 × 2,702.02
  4. Step 4: Simplify right side
    4,678.64x = 18,952,576.23
  5. Step 5: Solve for x
    x = 18,952,576.23/4,678.64
  6. Step 6: Final answer
    x = 4,050.88

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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.