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Finding the Fourth Proportional to 4,722.66, 7,083.63 and 1,435.77

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Solution

The fourth proportional to 4,722.66, 7,083.63 and 1,435.77 is: 2,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.66 : 7,083.63 = 1,435.77 : x
  2. Step 2: Convert to fraction form
    4,722.66/7,083.63 = 1,435.77/x
  3. Step 3: Cross multiply
    4,722.66x = 7,083.63 × 1,435.77
  4. Step 4: Simplify right side
    4,722.66x = 10,170,463.45
  5. Step 5: Solve for x
    x = 10,170,463.45/4,722.66
  6. Step 6: Final answer
    x = 2,153.55

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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.