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Finding the Fourth Proportional to 5,423.64, 7,483.74 and 3,185.34

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Solution

The fourth proportional to 5,423.64, 7,483.74 and 3,185.34 is: 4,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.64 : 7,483.74 = 3,185.34 : x
  2. Step 2: Convert to fraction form
    5,423.64/7,483.74 = 3,185.34/x
  3. Step 3: Cross multiply
    5,423.64x = 7,483.74 × 3,185.34
  4. Step 4: Simplify right side
    5,423.64x = 23,838,256.37
  5. Step 5: Solve for x
    x = 23,838,256.37/5,423.64
  6. Step 6: Final answer
    x = 4,395.25

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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.