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Finding the Fourth Proportional to 3,775.61, 5,210.75 and 2,284.35

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Solution

The fourth proportional to 3,775.61, 5,210.75 and 2,284.35 is: 3,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.61 : 5,210.75 = 2,284.35 : x
  2. Step 2: Convert to fraction form
    3,775.61/5,210.75 = 2,284.35/x
  3. Step 3: Cross multiply
    3,775.61x = 5,210.75 × 2,284.35
  4. Step 4: Simplify right side
    3,775.61x = 11,903,150.08
  5. Step 5: Solve for x
    x = 11,903,150.08/3,775.61
  6. Step 6: Final answer
    x = 3,152.65

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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.