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Finding the Fourth Proportional to 4,509.63, 6,765.12 and 1,587.42

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Solution

The fourth proportional to 4,509.63, 6,765.12 and 1,587.42 is: 2,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.63 : 6,765.12 = 1,587.42 : x
  2. Step 2: Convert to fraction form
    4,509.63/6,765.12 = 1,587.42/x
  3. Step 3: Cross multiply
    4,509.63x = 6,765.12 × 1,587.42
  4. Step 4: Simplify right side
    4,509.63x = 10,739,086.79
  5. Step 5: Solve for x
    x = 10,739,086.79/4,509.63
  6. Step 6: Final answer
    x = 2,381.37

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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.