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Finding the Fourth Proportional to 5,484.61, 8,227.43 and 1,535.86

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Solution

The fourth proportional to 5,484.61, 8,227.43 and 1,535.86 is: 2,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.61 : 8,227.43 = 1,535.86 : x
  2. Step 2: Convert to fraction form
    5,484.61/8,227.43 = 1,535.86/x
  3. Step 3: Cross multiply
    5,484.61x = 8,227.43 × 1,535.86
  4. Step 4: Simplify right side
    5,484.61x = 12,636,180.64
  5. Step 5: Solve for x
    x = 12,636,180.64/5,484.61
  6. Step 6: Final answer
    x = 2,303.93

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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.