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Finding the Fourth Proportional to 4,615.07, 6,923.81 and 1,328.42

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Solution

The fourth proportional to 4,615.07, 6,923.81 and 1,328.42 is: 1,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.07 : 6,923.81 = 1,328.42 : x
  2. Step 2: Convert to fraction form
    4,615.07/6,923.81 = 1,328.42/x
  3. Step 3: Cross multiply
    4,615.07x = 6,923.81 × 1,328.42
  4. Step 4: Simplify right side
    4,615.07x = 9,197,748.31
  5. Step 5: Solve for x
    x = 9,197,748.31/4,615.07
  6. Step 6: Final answer
    x = 1,992.98

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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.