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Finding the Fourth Proportional to 5,055.04, 7,583 and 1,768.08

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Solution

The fourth proportional to 5,055.04, 7,583 and 1,768.08 is: 2,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.04 : 7,583 = 1,768.08 : x
  2. Step 2: Convert to fraction form
    5,055.04/7,583 = 1,768.08/x
  3. Step 3: Cross multiply
    5,055.04x = 7,583 × 1,768.08
  4. Step 4: Simplify right side
    5,055.04x = 13,407,350.64
  5. Step 5: Solve for x
    x = 13,407,350.64/5,055.04
  6. Step 6: Final answer
    x = 2,652.27

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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.