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Finding the Fourth Proportional to 5,430.56, 8,145.80 and 1,534.94

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Solution

The fourth proportional to 5,430.56, 8,145.80 and 1,534.94 is: 2,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.56 : 8,145.80 = 1,534.94 : x
  2. Step 2: Convert to fraction form
    5,430.56/8,145.80 = 1,534.94/x
  3. Step 3: Cross multiply
    5,430.56x = 8,145.80 × 1,534.94
  4. Step 4: Simplify right side
    5,430.56x = 12,503,314.25
  5. Step 5: Solve for x
    x = 12,503,314.25/5,430.56
  6. Step 6: Final answer
    x = 2,302.40

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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.