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Finding the Fourth Proportional to 5,898.54, 8,140 and 3,246.14

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Solution

The fourth proportional to 5,898.54, 8,140 and 3,246.14 is: 4,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.54 : 8,140 = 3,246.14 : x
  2. Step 2: Convert to fraction form
    5,898.54/8,140 = 3,246.14/x
  3. Step 3: Cross multiply
    5,898.54x = 8,140 × 3,246.14
  4. Step 4: Simplify right side
    5,898.54x = 26,423,579.60
  5. Step 5: Solve for x
    x = 26,423,579.60/5,898.54
  6. Step 6: Final answer
    x = 4,479.68

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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.