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Finding the Fourth Proportional to 3,775.84, 5,656.40 and 2,473.36

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Solution

The fourth proportional to 3,775.84, 5,656.40 and 2,473.36 is: 3,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.84 : 5,656.40 = 2,473.36 : x
  2. Step 2: Convert to fraction form
    3,775.84/5,656.40 = 2,473.36/x
  3. Step 3: Cross multiply
    3,775.84x = 5,656.40 × 2,473.36
  4. Step 4: Simplify right side
    3,775.84x = 13,990,313.50
  5. Step 5: Solve for x
    x = 13,990,313.50/3,775.84
  6. Step 6: Final answer
    x = 3,705.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.