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Finding the Fourth Proportional to 4,535.16, 6,259.17 and 2,546.00

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Solution

The fourth proportional to 4,535.16, 6,259.17 and 2,546.00 is: 3,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.16 : 6,259.17 = 2,546.00 : x
  2. Step 2: Convert to fraction form
    4,535.16/6,259.17 = 2,546.00/x
  3. Step 3: Cross multiply
    4,535.16x = 6,259.17 × 2,546.00
  4. Step 4: Simplify right side
    4,535.16x = 15,935,815.52
  5. Step 5: Solve for x
    x = 15,935,815.52/4,535.16
  6. Step 6: Final answer
    x = 3,513.84

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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.