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Finding the Fourth Proportional to 3,775.98, 5,210.01 and 2,284.77

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Solution

The fourth proportional to 3,775.98, 5,210.01 and 2,284.77 is: 3,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.98 : 5,210.01 = 2,284.77 : x
  2. Step 2: Convert to fraction form
    3,775.98/5,210.01 = 2,284.77/x
  3. Step 3: Cross multiply
    3,775.98x = 5,210.01 × 2,284.77
  4. Step 4: Simplify right side
    3,775.98x = 11,903,674.55
  5. Step 5: Solve for x
    x = 11,903,674.55/3,775.98
  6. Step 6: Final answer
    x = 3,152.47

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