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Finding the Fourth Proportional to 4,059.40, 6,089.10 and 2,415.10

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Solution

The fourth proportional to 4,059.40, 6,089.10 and 2,415.10 is: 3,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.40 : 6,089.10 = 2,415.10 : x
  2. Step 2: Convert to fraction form
    4,059.40/6,089.10 = 2,415.10/x
  3. Step 3: Cross multiply
    4,059.40x = 6,089.10 × 2,415.10
  4. Step 4: Simplify right side
    4,059.40x = 14,705,785.41
  5. Step 5: Solve for x
    x = 14,705,785.41/4,059.40
  6. Step 6: Final answer
    x = 3,622.65

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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.