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Finding the Fourth Proportional to 4,922.34, 7,386.23 and 3,608.76

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Solution

The fourth proportional to 4,922.34, 7,386.23 and 3,608.76 is: 5,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.34 : 7,386.23 = 3,608.76 : x
  2. Step 2: Convert to fraction form
    4,922.34/7,386.23 = 3,608.76/x
  3. Step 3: Cross multiply
    4,922.34x = 7,386.23 × 3,608.76
  4. Step 4: Simplify right side
    4,922.34x = 26,655,168.10
  5. Step 5: Solve for x
    x = 26,655,168.10/4,922.34
  6. Step 6: Final answer
    x = 5,415.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.