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Finding the Fourth Proportional to 4,139.07, 6,208.91 and 1,542

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Solution

The fourth proportional to 4,139.07, 6,208.91 and 1,542 is: 2,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.07 : 6,208.91 = 1,542 : x
  2. Step 2: Convert to fraction form
    4,139.07/6,208.91 = 1,542/x
  3. Step 3: Cross multiply
    4,139.07x = 6,208.91 × 1,542
  4. Step 4: Simplify right side
    4,139.07x = 9,574,131.51
  5. Step 5: Solve for x
    x = 9,574,131.51/4,139.07
  6. Step 6: Final answer
    x = 2,313.11

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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.