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Finding the Fourth Proportional to 3,533.90, 4,875.39 and 2,471.38

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Solution

The fourth proportional to 3,533.90, 4,875.39 and 2,471.38 is: 3,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.90 : 4,875.39 = 2,471.38 : x
  2. Step 2: Convert to fraction form
    3,533.90/4,875.39 = 2,471.38/x
  3. Step 3: Cross multiply
    3,533.90x = 4,875.39 × 2,471.38
  4. Step 4: Simplify right side
    3,533.90x = 12,048,929.15
  5. Step 5: Solve for x
    x = 12,048,929.15/3,533.90
  6. Step 6: Final answer
    x = 3,409.53

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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.