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Finding the Fourth Proportional to 6,164.61, 8,506.47 and 3,646.80

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Solution

The fourth proportional to 6,164.61, 8,506.47 and 3,646.80 is: 5,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.61 : 8,506.47 = 3,646.80 : x
  2. Step 2: Convert to fraction form
    6,164.61/8,506.47 = 3,646.80/x
  3. Step 3: Cross multiply
    6,164.61x = 8,506.47 × 3,646.80
  4. Step 4: Simplify right side
    6,164.61x = 31,021,394.80
  5. Step 5: Solve for x
    x = 31,021,394.80/6,164.61
  6. Step 6: Final answer
    x = 5,032.17

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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.