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Finding the Fourth Proportional to 4,898.53, 7,345.89 and 1,777.77

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Solution

The fourth proportional to 4,898.53, 7,345.89 and 1,777.77 is: 2,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.53 : 7,345.89 = 1,777.77 : x
  2. Step 2: Convert to fraction form
    4,898.53/7,345.89 = 1,777.77/x
  3. Step 3: Cross multiply
    4,898.53x = 7,345.89 × 1,777.77
  4. Step 4: Simplify right side
    4,898.53x = 13,059,323.53
  5. Step 5: Solve for x
    x = 13,059,323.53/4,898.53
  6. Step 6: Final answer
    x = 2,665.97

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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.