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Finding the Fourth Proportional to 4,758.40, 6,566.80 and 2,662.56

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Solution

The fourth proportional to 4,758.40, 6,566.80 and 2,662.56 is: 3,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.40 : 6,566.80 = 2,662.56 : x
  2. Step 2: Convert to fraction form
    4,758.40/6,566.80 = 2,662.56/x
  3. Step 3: Cross multiply
    4,758.40x = 6,566.80 × 2,662.56
  4. Step 4: Simplify right side
    4,758.40x = 17,484,499.01
  5. Step 5: Solve for x
    x = 17,484,499.01/4,758.40
  6. Step 6: Final answer
    x = 3,674.45

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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.