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Finding the Fourth Proportional to 3,775.53, 5,210.10 and 2,097.05

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Solution

The fourth proportional to 3,775.53, 5,210.10 and 2,097.05 is: 2,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.53 : 5,210.10 = 2,097.05 : x
  2. Step 2: Convert to fraction form
    3,775.53/5,210.10 = 2,097.05/x
  3. Step 3: Cross multiply
    3,775.53x = 5,210.10 × 2,097.05
  4. Step 4: Simplify right side
    3,775.53x = 10,925,825.83
  5. Step 5: Solve for x
    x = 10,925,825.83/3,775.53
  6. Step 6: Final answer
    x = 2,893.85

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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.