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Finding the Fourth Proportional to 4,537.12, 6,258.02 and 4,165.32

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Solution

The fourth proportional to 4,537.12, 6,258.02 and 4,165.32 is: 5,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.12 : 6,258.02 = 4,165.32 : x
  2. Step 2: Convert to fraction form
    4,537.12/6,258.02 = 4,165.32/x
  3. Step 3: Cross multiply
    4,537.12x = 6,258.02 × 4,165.32
  4. Step 4: Simplify right side
    4,537.12x = 26,066,655.87
  5. Step 5: Solve for x
    x = 26,066,655.87/4,537.12
  6. Step 6: Final answer
    x = 5,745.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.