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Finding the Fourth Proportional to 4,477.84, 6,716.92 and 1,703.99

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Solution

The fourth proportional to 4,477.84, 6,716.92 and 1,703.99 is: 2,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.84 : 6,716.92 = 1,703.99 : x
  2. Step 2: Convert to fraction form
    4,477.84/6,716.92 = 1,703.99/x
  3. Step 3: Cross multiply
    4,477.84x = 6,716.92 × 1,703.99
  4. Step 4: Simplify right side
    4,477.84x = 11,445,564.51
  5. Step 5: Solve for x
    x = 11,445,564.51/4,477.84
  6. Step 6: Final answer
    x = 2,556.05

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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.