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Finding the Fourth Proportional to 4,172.16, 6,253.53 and 1,705.63

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Solution

The fourth proportional to 4,172.16, 6,253.53 and 1,705.63 is: 2,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.16 : 6,253.53 = 1,705.63 : x
  2. Step 2: Convert to fraction form
    4,172.16/6,253.53 = 1,705.63/x
  3. Step 3: Cross multiply
    4,172.16x = 6,253.53 × 1,705.63
  4. Step 4: Simplify right side
    4,172.16x = 10,666,220.45
  5. Step 5: Solve for x
    x = 10,666,220.45/4,172.16
  6. Step 6: Final answer
    x = 2,556.52

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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.