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Finding the Fourth Proportional to 4,922.31, 7,354.68 and 4,750.11

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Solution

The fourth proportional to 4,922.31, 7,354.68 and 4,750.11 is: 7,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.31 : 7,354.68 = 4,750.11 : x
  2. Step 2: Convert to fraction form
    4,922.31/7,354.68 = 4,750.11/x
  3. Step 3: Cross multiply
    4,922.31x = 7,354.68 × 4,750.11
  4. Step 4: Simplify right side
    4,922.31x = 34,935,539.01
  5. Step 5: Solve for x
    x = 34,935,539.01/4,922.31
  6. Step 6: Final answer
    x = 7,097.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.