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Finding the Fourth Proportional to 4,765.40, 7,150.16 and 2,302.07

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Solution

The fourth proportional to 4,765.40, 7,150.16 and 2,302.07 is: 3,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.40 : 7,150.16 = 2,302.07 : x
  2. Step 2: Convert to fraction form
    4,765.40/7,150.16 = 2,302.07/x
  3. Step 3: Cross multiply
    4,765.40x = 7,150.16 × 2,302.07
  4. Step 4: Simplify right side
    4,765.40x = 16,460,168.83
  5. Step 5: Solve for x
    x = 16,460,168.83/4,765.40
  6. Step 6: Final answer
    x = 3,454.10

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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.