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Finding the Fourth Proportional to 3,775.71, 5,210.46 and 2,097.07

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Solution

The fourth proportional to 3,775.71, 5,210.46 and 2,097.07 is: 2,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.71 : 5,210.46 = 2,097.07 : x
  2. Step 2: Convert to fraction form
    3,775.71/5,210.46 = 2,097.07/x
  3. Step 3: Cross multiply
    3,775.71x = 5,210.46 × 2,097.07
  4. Step 4: Simplify right side
    3,775.71x = 10,926,699.35
  5. Step 5: Solve for x
    x = 10,926,699.35/3,775.71
  6. Step 6: Final answer
    x = 2,893.95

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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.