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Finding the Fourth Proportional to 4,535.66, 6,259.02 and 2,647.28

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Solution

The fourth proportional to 4,535.66, 6,259.02 and 2,647.28 is: 3,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.66 : 6,259.02 = 2,647.28 : x
  2. Step 2: Convert to fraction form
    4,535.66/6,259.02 = 2,647.28/x
  3. Step 3: Cross multiply
    4,535.66x = 6,259.02 × 2,647.28
  4. Step 4: Simplify right side
    4,535.66x = 16,569,378.47
  5. Step 5: Solve for x
    x = 16,569,378.47/4,535.66
  6. Step 6: Final answer
    x = 3,653.14

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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.