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Finding the Fourth Proportional to 4,663.82, 6,994.16 and 1,543.08

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Solution

The fourth proportional to 4,663.82, 6,994.16 and 1,543.08 is: 2,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.82 : 6,994.16 = 1,543.08 : x
  2. Step 2: Convert to fraction form
    4,663.82/6,994.16 = 1,543.08/x
  3. Step 3: Cross multiply
    4,663.82x = 6,994.16 × 1,543.08
  4. Step 4: Simplify right side
    4,663.82x = 10,792,548.41
  5. Step 5: Solve for x
    x = 10,792,548.41/4,663.82
  6. Step 6: Final answer
    x = 2,314.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.