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Finding the Fourth Proportional to 3,365.70, 5,048.54 and 1,416.66

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Solution

The fourth proportional to 3,365.70, 5,048.54 and 1,416.66 is: 2,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.70 : 5,048.54 = 1,416.66 : x
  2. Step 2: Convert to fraction form
    3,365.70/5,048.54 = 1,416.66/x
  3. Step 3: Cross multiply
    3,365.70x = 5,048.54 × 1,416.66
  4. Step 4: Simplify right side
    3,365.70x = 7,152,064.68
  5. Step 5: Solve for x
    x = 7,152,064.68/3,365.70
  6. Step 6: Final answer
    x = 2,124.99

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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.