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Finding the Fourth Proportional to 3,049.63, 4,574.59 and 858.58

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Solution

The fourth proportional to 3,049.63, 4,574.59 and 858.58 is: 1,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.63 : 4,574.59 = 858.58 : x
  2. Step 2: Convert to fraction form
    3,049.63/4,574.59 = 858.58/x
  3. Step 3: Cross multiply
    3,049.63x = 4,574.59 × 858.58
  4. Step 4: Simplify right side
    3,049.63x = 3,927,637.90
  5. Step 5: Solve for x
    x = 3,927,637.90/3,049.63
  6. Step 6: Final answer
    x = 1,287.91

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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.