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Finding the Fourth Proportional to 4,533.48, 6,797.70 and 1,758.42

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Solution

The fourth proportional to 4,533.48, 6,797.70 and 1,758.42 is: 2,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.48 : 6,797.70 = 1,758.42 : x
  2. Step 2: Convert to fraction form
    4,533.48/6,797.70 = 1,758.42/x
  3. Step 3: Cross multiply
    4,533.48x = 6,797.70 × 1,758.42
  4. Step 4: Simplify right side
    4,533.48x = 11,953,211.63
  5. Step 5: Solve for x
    x = 11,953,211.63/4,533.48
  6. Step 6: Final answer
    x = 2,636.65

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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.