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Finding the Fourth Proportional to 4,546.40, 6,256.32 and 4,023.68

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Solution

The fourth proportional to 4,546.40, 6,256.32 and 4,023.68 is: 5,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.40 : 6,256.32 = 4,023.68 : x
  2. Step 2: Convert to fraction form
    4,546.40/6,256.32 = 4,023.68/x
  3. Step 3: Cross multiply
    4,546.40x = 6,256.32 × 4,023.68
  4. Step 4: Simplify right side
    4,546.40x = 25,173,429.66
  5. Step 5: Solve for x
    x = 25,173,429.66/4,546.40
  6. Step 6: Final answer
    x = 5,537.00

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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.