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Finding the Fourth Proportional to 5,830.89, 8,748.91 and 3,056.90

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Solution

The fourth proportional to 5,830.89, 8,748.91 and 3,056.90 is: 4,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.89 : 8,748.91 = 3,056.90 : x
  2. Step 2: Convert to fraction form
    5,830.89/8,748.91 = 3,056.90/x
  3. Step 3: Cross multiply
    5,830.89x = 8,748.91 × 3,056.90
  4. Step 4: Simplify right side
    5,830.89x = 26,744,503.06
  5. Step 5: Solve for x
    x = 26,744,503.06/5,830.89
  6. Step 6: Final answer
    x = 4,586.70

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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.