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Finding the Fourth Proportional to 4,477.17, 6,718.67 and 1,703.87

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Solution

The fourth proportional to 4,477.17, 6,718.67 and 1,703.87 is: 2,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.17 : 6,718.67 = 1,703.87 : x
  2. Step 2: Convert to fraction form
    4,477.17/6,718.67 = 1,703.87/x
  3. Step 3: Cross multiply
    4,477.17x = 6,718.67 × 1,703.87
  4. Step 4: Simplify right side
    4,477.17x = 11,447,710.92
  5. Step 5: Solve for x
    x = 11,447,710.92/4,477.17
  6. Step 6: Final answer
    x = 2,556.91

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