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Finding the Fourth Proportional to 4,172.34, 5,768.64 and 3,988.74

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Solution

The fourth proportional to 4,172.34, 5,768.64 and 3,988.74 is: 5,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.34 : 5,768.64 = 3,988.74 : x
  2. Step 2: Convert to fraction form
    4,172.34/5,768.64 = 3,988.74/x
  3. Step 3: Cross multiply
    4,172.34x = 5,768.64 × 3,988.74
  4. Step 4: Simplify right side
    4,172.34x = 23,009,605.11
  5. Step 5: Solve for x
    x = 23,009,605.11/4,172.34
  6. Step 6: Final answer
    x = 5,514.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.