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Finding the Fourth Proportional to 4,744.78, 7,117.27 and 1,457.80

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Solution

The fourth proportional to 4,744.78, 7,117.27 and 1,457.80 is: 2,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.78 : 7,117.27 = 1,457.80 : x
  2. Step 2: Convert to fraction form
    4,744.78/7,117.27 = 1,457.80/x
  3. Step 3: Cross multiply
    4,744.78x = 7,117.27 × 1,457.80
  4. Step 4: Simplify right side
    4,744.78x = 10,375,534.77
  5. Step 5: Solve for x
    x = 10,375,534.77/4,744.78
  6. Step 6: Final answer
    x = 2,186.73

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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.