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Finding the Fourth Proportional to 3,415.35, 4,703.26 and 2,967.02

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Solution

The fourth proportional to 3,415.35, 4,703.26 and 2,967.02 is: 4,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.35 : 4,703.26 = 2,967.02 : x
  2. Step 2: Convert to fraction form
    3,415.35/4,703.26 = 2,967.02/x
  3. Step 3: Cross multiply
    3,415.35x = 4,703.26 × 2,967.02
  4. Step 4: Simplify right side
    3,415.35x = 13,954,666.49
  5. Step 5: Solve for x
    x = 13,954,666.49/3,415.35
  6. Step 6: Final answer
    x = 4,085.87

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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.