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Finding the Fourth Proportional to 4,827.40, 7,238.40 and 2,053.60

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Solution

The fourth proportional to 4,827.40, 7,238.40 and 2,053.60 is: 3,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.40 : 7,238.40 = 2,053.60 : x
  2. Step 2: Convert to fraction form
    4,827.40/7,238.40 = 2,053.60/x
  3. Step 3: Cross multiply
    4,827.40x = 7,238.40 × 2,053.60
  4. Step 4: Simplify right side
    4,827.40x = 14,864,778.24
  5. Step 5: Solve for x
    x = 14,864,778.24/4,827.40
  6. Step 6: Final answer
    x = 3,079.25

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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.