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Finding the Fourth Proportional to 5,460.99, 8,192.50 and 1,762.83

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Solution

The fourth proportional to 5,460.99, 8,192.50 and 1,762.83 is: 2,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.99 : 8,192.50 = 1,762.83 : x
  2. Step 2: Convert to fraction form
    5,460.99/8,192.50 = 1,762.83/x
  3. Step 3: Cross multiply
    5,460.99x = 8,192.50 × 1,762.83
  4. Step 4: Simplify right side
    5,460.99x = 14,441,980.37
  5. Step 5: Solve for x
    x = 14,441,980.37/5,460.99
  6. Step 6: Final answer
    x = 2,644.57

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Double scale
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1.5x scale

Why These Related Problems?

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