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Finding the Fourth Proportional to 4,139.47, 5,706.30 and 3,021.67

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Solution

The fourth proportional to 4,139.47, 5,706.30 and 3,021.67 is: 4,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.47 : 5,706.30 = 3,021.67 : x
  2. Step 2: Convert to fraction form
    4,139.47/5,706.30 = 3,021.67/x
  3. Step 3: Cross multiply
    4,139.47x = 5,706.30 × 3,021.67
  4. Step 4: Simplify right side
    4,139.47x = 17,242,555.52
  5. Step 5: Solve for x
    x = 17,242,555.52/4,139.47
  6. Step 6: Final answer
    x = 4,165.40

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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.