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Finding the Fourth Proportional to 5,651.51, 7,798.95 and 3,415.23

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Solution

The fourth proportional to 5,651.51, 7,798.95 and 3,415.23 is: 4,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.51 : 7,798.95 = 3,415.23 : x
  2. Step 2: Convert to fraction form
    5,651.51/7,798.95 = 3,415.23/x
  3. Step 3: Cross multiply
    5,651.51x = 7,798.95 × 3,415.23
  4. Step 4: Simplify right side
    5,651.51x = 26,635,208.01
  5. Step 5: Solve for x
    x = 26,635,208.01/5,651.51
  6. Step 6: Final answer
    x = 4,712.94

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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.