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Finding the Fourth Proportional to 3,034.42, 4,557.09 and 2,895.91

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Solution

The fourth proportional to 3,034.42, 4,557.09 and 2,895.91 is: 4,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.42 : 4,557.09 = 2,895.91 : x
  2. Step 2: Convert to fraction form
    3,034.42/4,557.09 = 2,895.91/x
  3. Step 3: Cross multiply
    3,034.42x = 4,557.09 × 2,895.91
  4. Step 4: Simplify right side
    3,034.42x = 13,196,922.50
  5. Step 5: Solve for x
    x = 13,196,922.50/3,034.42
  6. Step 6: Final answer
    x = 4,349.08

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Why These Related Problems?

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