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Finding the Fourth Proportional to 5,901.12, 8,840.16 and 4,596.48

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Solution

The fourth proportional to 5,901.12, 8,840.16 and 4,596.48 is: 6,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.12 : 8,840.16 = 4,596.48 : x
  2. Step 2: Convert to fraction form
    5,901.12/8,840.16 = 4,596.48/x
  3. Step 3: Cross multiply
    5,901.12x = 8,840.16 × 4,596.48
  4. Step 4: Simplify right side
    5,901.12x = 40,633,618.64
  5. Step 5: Solve for x
    x = 40,633,618.64/5,901.12
  6. Step 6: Final answer
    x = 6,885.75

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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.