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Finding the Fourth Proportional to 3,455.07, 5,182.60 and 858.01

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Solution

The fourth proportional to 3,455.07, 5,182.60 and 858.01 is: 1,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.07 : 5,182.60 = 858.01 : x
  2. Step 2: Convert to fraction form
    3,455.07/5,182.60 = 858.01/x
  3. Step 3: Cross multiply
    3,455.07x = 5,182.60 × 858.01
  4. Step 4: Simplify right side
    3,455.07x = 4,446,696.71
  5. Step 5: Solve for x
    x = 4,446,696.71/3,455.07
  6. Step 6: Final answer
    x = 1,287.01

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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.