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Finding the Fourth Proportional to 4,733.99, 7,090.64 and 3,902.93

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Solution

The fourth proportional to 4,733.99, 7,090.64 and 3,902.93 is: 5,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.99 : 7,090.64 = 3,902.93 : x
  2. Step 2: Convert to fraction form
    4,733.99/7,090.64 = 3,902.93/x
  3. Step 3: Cross multiply
    4,733.99x = 7,090.64 × 3,902.93
  4. Step 4: Simplify right side
    4,733.99x = 27,674,271.58
  5. Step 5: Solve for x
    x = 27,674,271.58/4,733.99
  6. Step 6: Final answer
    x = 5,845.87

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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.