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Finding the Fourth Proportional to 5,430.96, 8,146.44 and 1,534.86

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Solution

The fourth proportional to 5,430.96, 8,146.44 and 1,534.86 is: 2,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.96 : 8,146.44 = 1,534.86 : x
  2. Step 2: Convert to fraction form
    5,430.96/8,146.44 = 1,534.86/x
  3. Step 3: Cross multiply
    5,430.96x = 8,146.44 × 1,534.86
  4. Step 4: Simplify right side
    5,430.96x = 12,503,644.90
  5. Step 5: Solve for x
    x = 12,503,644.90/5,430.96
  6. Step 6: Final answer
    x = 2,302.29

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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.