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Finding the Fourth Proportional to 3,513.02, 5,269.53 and 1,975.10

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Solution

The fourth proportional to 3,513.02, 5,269.53 and 1,975.10 is: 2,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.02 : 5,269.53 = 1,975.10 : x
  2. Step 2: Convert to fraction form
    3,513.02/5,269.53 = 1,975.10/x
  3. Step 3: Cross multiply
    3,513.02x = 5,269.53 × 1,975.10
  4. Step 4: Simplify right side
    3,513.02x = 10,407,848.70
  5. Step 5: Solve for x
    x = 10,407,848.70/3,513.02
  6. Step 6: Final answer
    x = 2,962.65

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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.