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Finding the Fourth Proportional to 5,294.64, 7,943.88 and 4,326.96

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Solution

The fourth proportional to 5,294.64, 7,943.88 and 4,326.96 is: 6,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.64 : 7,943.88 = 4,326.96 : x
  2. Step 2: Convert to fraction form
    5,294.64/7,943.88 = 4,326.96/x
  3. Step 3: Cross multiply
    5,294.64x = 7,943.88 × 4,326.96
  4. Step 4: Simplify right side
    5,294.64x = 34,372,851.00
  5. Step 5: Solve for x
    x = 34,372,851.00/5,294.64
  6. Step 6: Final answer
    x = 6,492.01

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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.