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Finding the Fourth Proportional to 3,751.15, 5,626.23 and 978.01

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Solution

The fourth proportional to 3,751.15, 5,626.23 and 978.01 is: 1,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.15 : 5,626.23 = 978.01 : x
  2. Step 2: Convert to fraction form
    3,751.15/5,626.23 = 978.01/x
  3. Step 3: Cross multiply
    3,751.15x = 5,626.23 × 978.01
  4. Step 4: Simplify right side
    3,751.15x = 5,502,509.20
  5. Step 5: Solve for x
    x = 5,502,509.20/3,751.15
  6. Step 6: Final answer
    x = 1,466.89

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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.