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Finding the Fourth Proportional to 5,097.10, 7,034.10 and 3,607.60

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Solution

The fourth proportional to 5,097.10, 7,034.10 and 3,607.60 is: 4,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.10 : 7,034.10 = 3,607.60 : x
  2. Step 2: Convert to fraction form
    5,097.10/7,034.10 = 3,607.60/x
  3. Step 3: Cross multiply
    5,097.10x = 7,034.10 × 3,607.60
  4. Step 4: Simplify right side
    5,097.10x = 25,376,219.16
  5. Step 5: Solve for x
    x = 25,376,219.16/5,097.10
  6. Step 6: Final answer
    x = 4,978.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.