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Finding the Fourth Proportional to 5,810.07, 8,017.94 and 3,420.14

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Solution

The fourth proportional to 5,810.07, 8,017.94 and 3,420.14 is: 4,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.07 : 8,017.94 = 3,420.14 : x
  2. Step 2: Convert to fraction form
    5,810.07/8,017.94 = 3,420.14/x
  3. Step 3: Cross multiply
    5,810.07x = 8,017.94 × 3,420.14
  4. Step 4: Simplify right side
    5,810.07x = 27,422,477.31
  5. Step 5: Solve for x
    x = 27,422,477.31/5,810.07
  6. Step 6: Final answer
    x = 4,719.82

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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.