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Finding the Fourth Proportional to 3,455.10, 5,182.65 and 858.04

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Solution

The fourth proportional to 3,455.10, 5,182.65 and 858.04 is: 1,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.10 : 5,182.65 = 858.04 : x
  2. Step 2: Convert to fraction form
    3,455.10/5,182.65 = 858.04/x
  3. Step 3: Cross multiply
    3,455.10x = 5,182.65 × 858.04
  4. Step 4: Simplify right side
    3,455.10x = 4,446,904.83
  5. Step 5: Solve for x
    x = 4,446,904.83/3,455.10
  6. Step 6: Final answer
    x = 1,287.06

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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.