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Finding the Fourth Proportional to 4,765.66, 7,148.28 and 1,302.90

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Solution

The fourth proportional to 4,765.66, 7,148.28 and 1,302.90 is: 1,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.66 : 7,148.28 = 1,302.90 : x
  2. Step 2: Convert to fraction form
    4,765.66/7,148.28 = 1,302.90/x
  3. Step 3: Cross multiply
    4,765.66x = 7,148.28 × 1,302.90
  4. Step 4: Simplify right side
    4,765.66x = 9,313,494.01
  5. Step 5: Solve for x
    x = 9,313,494.01/4,765.66
  6. Step 6: Final answer
    x = 1,954.29

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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.