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Finding the Fourth Proportional to 4,602.10, 6,903.18 and 3,137.62

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Solution

The fourth proportional to 4,602.10, 6,903.18 and 3,137.62 is: 4,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.10 : 6,903.18 = 3,137.62 : x
  2. Step 2: Convert to fraction form
    4,602.10/6,903.18 = 3,137.62/x
  3. Step 3: Cross multiply
    4,602.10x = 6,903.18 × 3,137.62
  4. Step 4: Simplify right side
    4,602.10x = 21,659,555.63
  5. Step 5: Solve for x
    x = 21,659,555.63/4,602.10
  6. Step 6: Final answer
    x = 4,706.45

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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.