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Finding the Fourth Proportional to 4,869.66, 6,713.58 and 3,188.16

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Solution

The fourth proportional to 4,869.66, 6,713.58 and 3,188.16 is: 4,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.66 : 6,713.58 = 3,188.16 : x
  2. Step 2: Convert to fraction form
    4,869.66/6,713.58 = 3,188.16/x
  3. Step 3: Cross multiply
    4,869.66x = 6,713.58 × 3,188.16
  4. Step 4: Simplify right side
    4,869.66x = 21,403,967.21
  5. Step 5: Solve for x
    x = 21,403,967.21/4,869.66
  6. Step 6: Final answer
    x = 4,395.37

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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.