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Finding the Fourth Proportional to 4,765.93, 7,149 and 1,303.18

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Solution

The fourth proportional to 4,765.93, 7,149 and 1,303.18 is: 1,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.93 : 7,149 = 1,303.18 : x
  2. Step 2: Convert to fraction form
    4,765.93/7,149 = 1,303.18/x
  3. Step 3: Cross multiply
    4,765.93x = 7,149 × 1,303.18
  4. Step 4: Simplify right side
    4,765.93x = 9,316,433.82
  5. Step 5: Solve for x
    x = 9,316,433.82/4,765.93
  6. Step 6: Final answer
    x = 1,954.80

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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.