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Finding the Fourth Proportional to 5,155.90, 7,733.42 and 1,458.04

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Solution

The fourth proportional to 5,155.90, 7,733.42 and 1,458.04 is: 2,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.90 : 7,733.42 = 1,458.04 : x
  2. Step 2: Convert to fraction form
    5,155.90/7,733.42 = 1,458.04/x
  3. Step 3: Cross multiply
    5,155.90x = 7,733.42 × 1,458.04
  4. Step 4: Simplify right side
    5,155.90x = 11,275,597.03
  5. Step 5: Solve for x
    x = 11,275,597.03/5,155.90
  6. Step 6: Final answer
    x = 2,186.93

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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.