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Finding the Fourth Proportional to 5,405.85, 7,459.80 and 3,047.94

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Solution

The fourth proportional to 5,405.85, 7,459.80 and 3,047.94 is: 4,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.85 : 7,459.80 = 3,047.94 : x
  2. Step 2: Convert to fraction form
    5,405.85/7,459.80 = 3,047.94/x
  3. Step 3: Cross multiply
    5,405.85x = 7,459.80 × 3,047.94
  4. Step 4: Simplify right side
    5,405.85x = 22,737,022.81
  5. Step 5: Solve for x
    x = 22,737,022.81/5,405.85
  6. Step 6: Final answer
    x = 4,206.00

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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.