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Finding the Fourth Proportional to 4,706.05, 7,061.38 and 1,894.77

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Solution

The fourth proportional to 4,706.05, 7,061.38 and 1,894.77 is: 2,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.05 : 7,061.38 = 1,894.77 : x
  2. Step 2: Convert to fraction form
    4,706.05/7,061.38 = 1,894.77/x
  3. Step 3: Cross multiply
    4,706.05x = 7,061.38 × 1,894.77
  4. Step 4: Simplify right side
    4,706.05x = 13,379,666.39
  5. Step 5: Solve for x
    x = 13,379,666.39/4,706.05
  6. Step 6: Final answer
    x = 2,843.08

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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.