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Finding the Fourth Proportional to 3,420.63, 4,706.91 and 3,334.77

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Solution

The fourth proportional to 3,420.63, 4,706.91 and 3,334.77 is: 4,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.63 : 4,706.91 = 3,334.77 : x
  2. Step 2: Convert to fraction form
    3,420.63/4,706.91 = 3,334.77/x
  3. Step 3: Cross multiply
    3,420.63x = 4,706.91 × 3,334.77
  4. Step 4: Simplify right side
    3,420.63x = 15,696,462.26
  5. Step 5: Solve for x
    x = 15,696,462.26/3,420.63
  6. Step 6: Final answer
    x = 4,588.76

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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.