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Finding the Fourth Proportional to 2,855.10, 4,257.06 and 2,829.63

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Solution

The fourth proportional to 2,855.10, 4,257.06 and 2,829.63 is: 4,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.10 : 4,257.06 = 2,829.63 : x
  2. Step 2: Convert to fraction form
    2,855.10/4,257.06 = 2,829.63/x
  3. Step 3: Cross multiply
    2,855.10x = 4,257.06 × 2,829.63
  4. Step 4: Simplify right side
    2,855.10x = 12,045,904.69
  5. Step 5: Solve for x
    x = 12,045,904.69/2,855.10
  6. Step 6: Final answer
    x = 4,219.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.