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Finding the Fourth Proportional to 4,845.76, 7,271.40 and 4,033.88

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Solution

The fourth proportional to 4,845.76, 7,271.40 and 4,033.88 is: 6,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.76 : 7,271.40 = 4,033.88 : x
  2. Step 2: Convert to fraction form
    4,845.76/7,271.40 = 4,033.88/x
  3. Step 3: Cross multiply
    4,845.76x = 7,271.40 × 4,033.88
  4. Step 4: Simplify right side
    4,845.76x = 29,331,955.03
  5. Step 5: Solve for x
    x = 29,331,955.03/4,845.76
  6. Step 6: Final answer
    x = 6,053.12

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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.