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Finding the Fourth Proportional to 5,384.60, 8,074.20 and 2,459.60

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Solution

The fourth proportional to 5,384.60, 8,074.20 and 2,459.60 is: 3,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.60 : 8,074.20 = 2,459.60 : x
  2. Step 2: Convert to fraction form
    5,384.60/8,074.20 = 2,459.60/x
  3. Step 3: Cross multiply
    5,384.60x = 8,074.20 × 2,459.60
  4. Step 4: Simplify right side
    5,384.60x = 19,859,302.32
  5. Step 5: Solve for x
    x = 19,859,302.32/5,384.60
  6. Step 6: Final answer
    x = 3,688.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.