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Finding the Fourth Proportional to 4,477.96, 6,715.92 and 1,703.64

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Solution

The fourth proportional to 4,477.96, 6,715.92 and 1,703.64 is: 2,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.96 : 6,715.92 = 1,703.64 : x
  2. Step 2: Convert to fraction form
    4,477.96/6,715.92 = 1,703.64/x
  3. Step 3: Cross multiply
    4,477.96x = 6,715.92 × 1,703.64
  4. Step 4: Simplify right side
    4,477.96x = 11,441,509.95
  5. Step 5: Solve for x
    x = 11,441,509.95/4,477.96
  6. Step 6: Final answer
    x = 2,555.07

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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.