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Finding the Fourth Proportional to 5,406.94, 7,459.05 and 3,420.42

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Solution

The fourth proportional to 5,406.94, 7,459.05 and 3,420.42 is: 4,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.94 : 7,459.05 = 3,420.42 : x
  2. Step 2: Convert to fraction form
    5,406.94/7,459.05 = 3,420.42/x
  3. Step 3: Cross multiply
    5,406.94x = 7,459.05 × 3,420.42
  4. Step 4: Simplify right side
    5,406.94x = 25,513,083.80
  5. Step 5: Solve for x
    x = 25,513,083.80/5,406.94
  6. Step 6: Final answer
    x = 4,718.58

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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.