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Finding the Fourth Proportional to 4,874.60, 7,312.67 and 1,586.93

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Solution

The fourth proportional to 4,874.60, 7,312.67 and 1,586.93 is: 2,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.60 : 7,312.67 = 1,586.93 : x
  2. Step 2: Convert to fraction form
    4,874.60/7,312.67 = 1,586.93/x
  3. Step 3: Cross multiply
    4,874.60x = 7,312.67 × 1,586.93
  4. Step 4: Simplify right side
    4,874.60x = 11,604,650.91
  5. Step 5: Solve for x
    x = 11,604,650.91/4,874.60
  6. Step 6: Final answer
    x = 2,380.64

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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.