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Finding the Fourth Proportional to 4,686.96, 7,030.17 and 1,765.02

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Solution

The fourth proportional to 4,686.96, 7,030.17 and 1,765.02 is: 2,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.96 : 7,030.17 = 1,765.02 : x
  2. Step 2: Convert to fraction form
    4,686.96/7,030.17 = 1,765.02/x
  3. Step 3: Cross multiply
    4,686.96x = 7,030.17 × 1,765.02
  4. Step 4: Simplify right side
    4,686.96x = 12,408,390.65
  5. Step 5: Solve for x
    x = 12,408,390.65/4,686.96
  6. Step 6: Final answer
    x = 2,647.43

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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.