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Finding the Fourth Proportional to 5,038.58, 7,561.31 and 1,751.64

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Solution

The fourth proportional to 5,038.58, 7,561.31 and 1,751.64 is: 2,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.58 : 7,561.31 = 1,751.64 : x
  2. Step 2: Convert to fraction form
    5,038.58/7,561.31 = 1,751.64/x
  3. Step 3: Cross multiply
    5,038.58x = 7,561.31 × 1,751.64
  4. Step 4: Simplify right side
    5,038.58x = 13,244,693.05
  5. Step 5: Solve for x
    x = 13,244,693.05/5,038.58
  6. Step 6: Final answer
    x = 2,628.66

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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.