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Finding the Fourth Proportional to 3,485.46, 4,805.28 and 2,985.96

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Solution

The fourth proportional to 3,485.46, 4,805.28 and 2,985.96 is: 4,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.46 : 4,805.28 = 2,985.96 : x
  2. Step 2: Convert to fraction form
    3,485.46/4,805.28 = 2,985.96/x
  3. Step 3: Cross multiply
    3,485.46x = 4,805.28 × 2,985.96
  4. Step 4: Simplify right side
    3,485.46x = 14,348,373.87
  5. Step 5: Solve for x
    x = 14,348,373.87/3,485.46
  6. Step 6: Final answer
    x = 4,116.64

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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.