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Finding the Fourth Proportional to 5,406.10, 7,459.98 and 3,047.80

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Solution

The fourth proportional to 5,406.10, 7,459.98 and 3,047.80 is: 4,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.10 : 7,459.98 = 3,047.80 : x
  2. Step 2: Convert to fraction form
    5,406.10/7,459.98 = 3,047.80/x
  3. Step 3: Cross multiply
    5,406.10x = 7,459.98 × 3,047.80
  4. Step 4: Simplify right side
    5,406.10x = 22,736,527.04
  5. Step 5: Solve for x
    x = 22,736,527.04/5,406.10
  6. Step 6: Final answer
    x = 4,205.72

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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.