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Finding the Fourth Proportional to 4,296.54, 6,448.05 and 2,835.18

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Solution

The fourth proportional to 4,296.54, 6,448.05 and 2,835.18 is: 4,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.54 : 6,448.05 = 2,835.18 : x
  2. Step 2: Convert to fraction form
    4,296.54/6,448.05 = 2,835.18/x
  3. Step 3: Cross multiply
    4,296.54x = 6,448.05 × 2,835.18
  4. Step 4: Simplify right side
    4,296.54x = 18,281,382.40
  5. Step 5: Solve for x
    x = 18,281,382.40/4,296.54
  6. Step 6: Final answer
    x = 4,254.91

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Why These Related Problems?

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