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Finding the Fourth Proportional to 4,706.60, 7,018.77 and 4,124.31

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Solution

The fourth proportional to 4,706.60, 7,018.77 and 4,124.31 is: 6,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.60 : 7,018.77 = 4,124.31 : x
  2. Step 2: Convert to fraction form
    4,706.60/7,018.77 = 4,124.31/x
  3. Step 3: Cross multiply
    4,706.60x = 7,018.77 × 4,124.31
  4. Step 4: Simplify right side
    4,706.60x = 28,947,583.30
  5. Step 5: Solve for x
    x = 28,947,583.30/4,706.60
  6. Step 6: Final answer
    x = 6,150.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.