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Finding the Fourth Proportional to 4,643.76, 6,408.48 and 2,547.96

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Solution

The fourth proportional to 4,643.76, 6,408.48 and 2,547.96 is: 3,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.76 : 6,408.48 = 2,547.96 : x
  2. Step 2: Convert to fraction form
    4,643.76/6,408.48 = 2,547.96/x
  3. Step 3: Cross multiply
    4,643.76x = 6,408.48 × 2,547.96
  4. Step 4: Simplify right side
    4,643.76x = 16,328,550.70
  5. Step 5: Solve for x
    x = 16,328,550.70/4,643.76
  6. Step 6: Final answer
    x = 3,516.23

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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.