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Finding the Fourth Proportional to 5,046.95, 7,565.09 and 1,924.94

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Solution

The fourth proportional to 5,046.95, 7,565.09 and 1,924.94 is: 2,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.95 : 7,565.09 = 1,924.94 : x
  2. Step 2: Convert to fraction form
    5,046.95/7,565.09 = 1,924.94/x
  3. Step 3: Cross multiply
    5,046.95x = 7,565.09 × 1,924.94
  4. Step 4: Simplify right side
    5,046.95x = 14,562,296.89
  5. Step 5: Solve for x
    x = 14,562,296.89/5,046.95
  6. Step 6: Final answer
    x = 2,885.37

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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.