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Finding the Fourth Proportional to 4,477.48, 6,716.32 and 1,703.63

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Solution

The fourth proportional to 4,477.48, 6,716.32 and 1,703.63 is: 2,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.48 : 6,716.32 = 1,703.63 : x
  2. Step 2: Convert to fraction form
    4,477.48/6,716.32 = 1,703.63/x
  3. Step 3: Cross multiply
    4,477.48x = 6,716.32 × 1,703.63
  4. Step 4: Simplify right side
    4,477.48x = 11,442,136.77
  5. Step 5: Solve for x
    x = 11,442,136.77/4,477.48
  6. Step 6: Final answer
    x = 2,555.49

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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.