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Finding the Fourth Proportional to 3,502.51, 4,829.69 and 3,450.80

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Solution

The fourth proportional to 3,502.51, 4,829.69 and 3,450.80 is: 4,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.51 : 4,829.69 = 3,450.80 : x
  2. Step 2: Convert to fraction form
    3,502.51/4,829.69 = 3,450.80/x
  3. Step 3: Cross multiply
    3,502.51x = 4,829.69 × 3,450.80
  4. Step 4: Simplify right side
    3,502.51x = 16,666,314.95
  5. Step 5: Solve for x
    x = 16,666,314.95/3,502.51
  6. Step 6: Final answer
    x = 4,758.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.