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Finding the Fourth Proportional to 3,435.51, 4,738.50 and 2,176.77

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Solution

The fourth proportional to 3,435.51, 4,738.50 and 2,176.77 is: 3,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.51 : 4,738.50 = 2,176.77 : x
  2. Step 2: Convert to fraction form
    3,435.51/4,738.50 = 2,176.77/x
  3. Step 3: Cross multiply
    3,435.51x = 4,738.50 × 2,176.77
  4. Step 4: Simplify right side
    3,435.51x = 10,314,624.65
  5. Step 5: Solve for x
    x = 10,314,624.65/3,435.51
  6. Step 6: Final answer
    x = 3,002.36

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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.