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Finding the Fourth Proportional to 4,740.70, 6,542.50 and 4,106.48

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Solution

The fourth proportional to 4,740.70, 6,542.50 and 4,106.48 is: 5,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.70 : 6,542.50 = 4,106.48 : x
  2. Step 2: Convert to fraction form
    4,740.70/6,542.50 = 4,106.48/x
  3. Step 3: Cross multiply
    4,740.70x = 6,542.50 × 4,106.48
  4. Step 4: Simplify right side
    4,740.70x = 26,866,645.40
  5. Step 5: Solve for x
    x = 26,866,645.40/4,740.70
  6. Step 6: Final answer
    x = 5,667.23

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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.