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Finding the Fourth Proportional to 6,492.84, 8,959.14 and 3,697.96

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Solution

The fourth proportional to 6,492.84, 8,959.14 and 3,697.96 is: 5,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.84 : 8,959.14 = 3,697.96 : x
  2. Step 2: Convert to fraction form
    6,492.84/8,959.14 = 3,697.96/x
  3. Step 3: Cross multiply
    6,492.84x = 8,959.14 × 3,697.96
  4. Step 4: Simplify right side
    6,492.84x = 33,130,541.35
  5. Step 5: Solve for x
    x = 33,130,541.35/6,492.84
  6. Step 6: Final answer
    x = 5,102.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.