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Finding the Fourth Proportional to 5,484.72, 8,235.28 and 4,385.84

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Solution

The fourth proportional to 5,484.72, 8,235.28 and 4,385.84 is: 6,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.72 : 8,235.28 = 4,385.84 : x
  2. Step 2: Convert to fraction form
    5,484.72/8,235.28 = 4,385.84/x
  3. Step 3: Cross multiply
    5,484.72x = 8,235.28 × 4,385.84
  4. Step 4: Simplify right side
    5,484.72x = 36,118,620.44
  5. Step 5: Solve for x
    x = 36,118,620.44/5,484.72
  6. Step 6: Final answer
    x = 6,585.32

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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.