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Finding the Fourth Proportional to 4,968.16, 7,455.65 and 2,046.46

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Solution

The fourth proportional to 4,968.16, 7,455.65 and 2,046.46 is: 3,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.16 : 7,455.65 = 2,046.46 : x
  2. Step 2: Convert to fraction form
    4,968.16/7,455.65 = 2,046.46/x
  3. Step 3: Cross multiply
    4,968.16x = 7,455.65 × 2,046.46
  4. Step 4: Simplify right side
    4,968.16x = 15,257,689.50
  5. Step 5: Solve for x
    x = 15,257,689.50/4,968.16
  6. Step 6: Final answer
    x = 3,071.09

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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.