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Finding the Fourth Proportional to 5,038.16, 7,555.08 and 1,958

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Solution

The fourth proportional to 5,038.16, 7,555.08 and 1,958 is: 2,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.16 : 7,555.08 = 1,958 : x
  2. Step 2: Convert to fraction form
    5,038.16/7,555.08 = 1,958/x
  3. Step 3: Cross multiply
    5,038.16x = 7,555.08 × 1,958
  4. Step 4: Simplify right side
    5,038.16x = 14,792,846.64
  5. Step 5: Solve for x
    x = 14,792,846.64/5,038.16
  6. Step 6: Final answer
    x = 2,936.16

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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.