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Finding the Fourth Proportional to 4,896.17, 7,346.78 and 2,430.93

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Solution

The fourth proportional to 4,896.17, 7,346.78 and 2,430.93 is: 3,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.17 : 7,346.78 = 2,430.93 : x
  2. Step 2: Convert to fraction form
    4,896.17/7,346.78 = 2,430.93/x
  3. Step 3: Cross multiply
    4,896.17x = 7,346.78 × 2,430.93
  4. Step 4: Simplify right side
    4,896.17x = 17,859,507.91
  5. Step 5: Solve for x
    x = 17,859,507.91/4,896.17
  6. Step 6: Final answer
    x = 3,647.65

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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.