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Finding the Fourth Proportional to 5,038.64, 7,559.64 and 2,441.84

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Solution

The fourth proportional to 5,038.64, 7,559.64 and 2,441.84 is: 3,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.64 : 7,559.64 = 2,441.84 : x
  2. Step 2: Convert to fraction form
    5,038.64/7,559.64 = 2,441.84/x
  3. Step 3: Cross multiply
    5,038.64x = 7,559.64 × 2,441.84
  4. Step 4: Simplify right side
    5,038.64x = 18,459,431.34
  5. Step 5: Solve for x
    x = 18,459,431.34/5,038.64
  6. Step 6: Final answer
    x = 3,663.57

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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.