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Finding the Fourth Proportional to 5,406.70, 7,459.20 and 3,416.50

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Solution

The fourth proportional to 5,406.70, 7,459.20 and 3,416.50 is: 4,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.70 : 7,459.20 = 3,416.50 : x
  2. Step 2: Convert to fraction form
    5,406.70/7,459.20 = 3,416.50/x
  3. Step 3: Cross multiply
    5,406.70x = 7,459.20 × 3,416.50
  4. Step 4: Simplify right side
    5,406.70x = 25,484,356.80
  5. Step 5: Solve for x
    x = 25,484,356.80/5,406.70
  6. Step 6: Final answer
    x = 4,713.48

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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.