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Finding the Fourth Proportional to 5,430.96, 8,145.72 and 1,535.67

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Solution

The fourth proportional to 5,430.96, 8,145.72 and 1,535.67 is: 2,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.96 : 8,145.72 = 1,535.67 : x
  2. Step 2: Convert to fraction form
    5,430.96/8,145.72 = 1,535.67/x
  3. Step 3: Cross multiply
    5,430.96x = 8,145.72 × 1,535.67
  4. Step 4: Simplify right side
    5,430.96x = 12,509,137.83
  5. Step 5: Solve for x
    x = 12,509,137.83/5,430.96
  6. Step 6: Final answer
    x = 2,303.30

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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.