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Finding the Fourth Proportional to 3,745.07, 5,617.60 and 971.51

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Solution

The fourth proportional to 3,745.07, 5,617.60 and 971.51 is: 1,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.07 : 5,617.60 = 971.51 : x
  2. Step 2: Convert to fraction form
    3,745.07/5,617.60 = 971.51/x
  3. Step 3: Cross multiply
    3,745.07x = 5,617.60 × 971.51
  4. Step 4: Simplify right side
    3,745.07x = 5,457,534.35
  5. Step 5: Solve for x
    x = 5,457,534.35/3,745.07
  6. Step 6: Final answer
    x = 1,457.26

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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.