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Finding the Fourth Proportional to 3,390.26, 5,085.54 and 1,415.66

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Solution

The fourth proportional to 3,390.26, 5,085.54 and 1,415.66 is: 2,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.26 : 5,085.54 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    3,390.26/5,085.54 = 1,415.66/x
  3. Step 3: Cross multiply
    3,390.26x = 5,085.54 × 1,415.66
  4. Step 4: Simplify right side
    3,390.26x = 7,199,370.13
  5. Step 5: Solve for x
    x = 7,199,370.13/3,390.26
  6. Step 6: Final answer
    x = 2,123.55

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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.