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Finding the Fourth Proportional to 4,546.50, 6,254.73 and 4,352.10

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Solution

The fourth proportional to 4,546.50, 6,254.73 and 4,352.10 is: 5,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.50 : 6,254.73 = 4,352.10 : x
  2. Step 2: Convert to fraction form
    4,546.50/6,254.73 = 4,352.10/x
  3. Step 3: Cross multiply
    4,546.50x = 6,254.73 × 4,352.10
  4. Step 4: Simplify right side
    4,546.50x = 27,221,210.43
  5. Step 5: Solve for x
    x = 27,221,210.43/4,546.50
  6. Step 6: Final answer
    x = 5,987.29

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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.