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Finding the Fourth Proportional to 5,726.58, 7,900.34 and 3,486.66

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Solution

The fourth proportional to 5,726.58, 7,900.34 and 3,486.66 is: 4,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.58 : 7,900.34 = 3,486.66 : x
  2. Step 2: Convert to fraction form
    5,726.58/7,900.34 = 3,486.66/x
  3. Step 3: Cross multiply
    5,726.58x = 7,900.34 × 3,486.66
  4. Step 4: Simplify right side
    5,726.58x = 27,545,799.46
  5. Step 5: Solve for x
    x = 27,545,799.46/5,726.58
  6. Step 6: Final answer
    x = 4,810.17

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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.