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Finding the Fourth Proportional to 5,423.40, 7,483.14 and 3,184.68

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Solution

The fourth proportional to 5,423.40, 7,483.14 and 3,184.68 is: 4,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.40 : 7,483.14 = 3,184.68 : x
  2. Step 2: Convert to fraction form
    5,423.40/7,483.14 = 3,184.68/x
  3. Step 3: Cross multiply
    5,423.40x = 7,483.14 × 3,184.68
  4. Step 4: Simplify right side
    5,423.40x = 23,831,406.30
  5. Step 5: Solve for x
    x = 23,831,406.30/5,423.40
  6. Step 6: Final answer
    x = 4,394.18

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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.