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Finding the Fourth Proportional to 3,775.59, 5,210.28 and 2,097

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Solution

The fourth proportional to 3,775.59, 5,210.28 and 2,097 is: 2,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.59 : 5,210.28 = 2,097 : x
  2. Step 2: Convert to fraction form
    3,775.59/5,210.28 = 2,097/x
  3. Step 3: Cross multiply
    3,775.59x = 5,210.28 × 2,097
  4. Step 4: Simplify right side
    3,775.59x = 10,925,957.16
  5. Step 5: Solve for x
    x = 10,925,957.16/3,775.59
  6. Step 6: Final answer
    x = 2,893.84

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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.