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Finding the Fourth Proportional to 5,738.60, 8,597.10 and 2,955.80

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Solution

The fourth proportional to 5,738.60, 8,597.10 and 2,955.80 is: 4,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.60 : 8,597.10 = 2,955.80 : x
  2. Step 2: Convert to fraction form
    5,738.60/8,597.10 = 2,955.80/x
  3. Step 3: Cross multiply
    5,738.60x = 8,597.10 × 2,955.80
  4. Step 4: Simplify right side
    5,738.60x = 25,411,308.18
  5. Step 5: Solve for x
    x = 25,411,308.18/5,738.60
  6. Step 6: Final answer
    x = 4,428.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.