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Finding the Fourth Proportional to 4,295.40, 6,440.06 and 2,102.74

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Solution

The fourth proportional to 4,295.40, 6,440.06 and 2,102.74 is: 3,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.40 : 6,440.06 = 2,102.74 : x
  2. Step 2: Convert to fraction form
    4,295.40/6,440.06 = 2,102.74/x
  3. Step 3: Cross multiply
    4,295.40x = 6,440.06 × 2,102.74
  4. Step 4: Simplify right side
    4,295.40x = 13,541,771.76
  5. Step 5: Solve for x
    x = 13,541,771.76/4,295.40
  6. Step 6: Final answer
    x = 3,152.62

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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.