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Finding the Fourth Proportional to 4,706.10, 7,057.80 and 1,418.40

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Solution

The fourth proportional to 4,706.10, 7,057.80 and 1,418.40 is: 2,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.10 : 7,057.80 = 1,418.40 : x
  2. Step 2: Convert to fraction form
    4,706.10/7,057.80 = 1,418.40/x
  3. Step 3: Cross multiply
    4,706.10x = 7,057.80 × 1,418.40
  4. Step 4: Simplify right side
    4,706.10x = 10,010,783.52
  5. Step 5: Solve for x
    x = 10,010,783.52/4,706.10
  6. Step 6: Final answer
    x = 2,127.19

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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.