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Finding the Fourth Proportional to 4,827.18, 7,245.88 and 4,275.47

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Solution

The fourth proportional to 4,827.18, 7,245.88 and 4,275.47 is: 6,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.18 : 7,245.88 = 4,275.47 : x
  2. Step 2: Convert to fraction form
    4,827.18/7,245.88 = 4,275.47/x
  3. Step 3: Cross multiply
    4,827.18x = 7,245.88 × 4,275.47
  4. Step 4: Simplify right side
    4,827.18x = 30,979,506.33
  5. Step 5: Solve for x
    x = 30,979,506.33/4,827.18
  6. Step 6: Final answer
    x = 6,417.73

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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.