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Finding the Fourth Proportional to 5,898.93, 8,141.32 and 5,400.68

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Solution

The fourth proportional to 5,898.93, 8,141.32 and 5,400.68 is: 7,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.93 : 8,141.32 = 5,400.68 : x
  2. Step 2: Convert to fraction form
    5,898.93/8,141.32 = 5,400.68/x
  3. Step 3: Cross multiply
    5,898.93x = 8,141.32 × 5,400.68
  4. Step 4: Simplify right side
    5,898.93x = 43,968,664.10
  5. Step 5: Solve for x
    x = 43,968,664.10/5,898.93
  6. Step 6: Final answer
    x = 7,453.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.