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Finding the Fourth Proportional to 5,796, 7,998.48 and 3,312

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Solution

The fourth proportional to 5,796, 7,998.48 and 3,312 is: 4,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 7,998.48 = 3,312 : x
  2. Step 2: Convert to fraction form
    5,796/7,998.48 = 3,312/x
  3. Step 3: Cross multiply
    5,796x = 7,998.48 × 3,312
  4. Step 4: Simplify right side
    5,796x = 26,490,965.76
  5. Step 5: Solve for x
    x = 26,490,965.76/5,796
  6. Step 6: Final answer
    x = 4,570.56

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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.