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Finding the Fourth Proportional to 4,643.71, 6,408.28 and 2,547.82

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Solution

The fourth proportional to 4,643.71, 6,408.28 and 2,547.82 is: 3,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.71 : 6,408.28 = 2,547.82 : x
  2. Step 2: Convert to fraction form
    4,643.71/6,408.28 = 2,547.82/x
  3. Step 3: Cross multiply
    4,643.71x = 6,408.28 × 2,547.82
  4. Step 4: Simplify right side
    4,643.71x = 16,327,143.95
  5. Step 5: Solve for x
    x = 16,327,143.95/4,643.71
  6. Step 6: Final answer
    x = 3,515.97

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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.