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Finding the Fourth Proportional to 4,663.55, 6,994.78 and 1,376.57

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Solution

The fourth proportional to 4,663.55, 6,994.78 and 1,376.57 is: 2,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.55 : 6,994.78 = 1,376.57 : x
  2. Step 2: Convert to fraction form
    4,663.55/6,994.78 = 1,376.57/x
  3. Step 3: Cross multiply
    4,663.55x = 6,994.78 × 1,376.57
  4. Step 4: Simplify right side
    4,663.55x = 9,628,804.30
  5. Step 5: Solve for x
    x = 9,628,804.30/4,663.55
  6. Step 6: Final answer
    x = 2,064.69

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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.