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Finding the Fourth Proportional to 4,643.88, 6,408.30 and 2,547.84

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Solution

The fourth proportional to 4,643.88, 6,408.30 and 2,547.84 is: 3,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.88 : 6,408.30 = 2,547.84 : x
  2. Step 2: Convert to fraction form
    4,643.88/6,408.30 = 2,547.84/x
  3. Step 3: Cross multiply
    4,643.88x = 6,408.30 × 2,547.84
  4. Step 4: Simplify right side
    4,643.88x = 16,327,323.07
  5. Step 5: Solve for x
    x = 16,327,323.07/4,643.88
  6. Step 6: Final answer
    x = 3,515.88

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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.