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Finding the Fourth Proportional to 4,765.84, 7,146.90 and 1,602.64

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Solution

The fourth proportional to 4,765.84, 7,146.90 and 1,602.64 is: 2,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.84 : 7,146.90 = 1,602.64 : x
  2. Step 2: Convert to fraction form
    4,765.84/7,146.90 = 1,602.64/x
  3. Step 3: Cross multiply
    4,765.84x = 7,146.90 × 1,602.64
  4. Step 4: Simplify right side
    4,765.84x = 11,453,907.82
  5. Step 5: Solve for x
    x = 11,453,907.82/4,765.84
  6. Step 6: Final answer
    x = 2,403.33

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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.