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Finding the Fourth Proportional to 4,727.93, 7,089.85 and 1,607.10

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Solution

The fourth proportional to 4,727.93, 7,089.85 and 1,607.10 is: 2,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.93 : 7,089.85 = 1,607.10 : x
  2. Step 2: Convert to fraction form
    4,727.93/7,089.85 = 1,607.10/x
  3. Step 3: Cross multiply
    4,727.93x = 7,089.85 × 1,607.10
  4. Step 4: Simplify right side
    4,727.93x = 11,394,084.26
  5. Step 5: Solve for x
    x = 11,394,084.26/4,727.93
  6. Step 6: Final answer
    x = 2,409.95

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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.