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Finding the Fourth Proportional to 5,132.84, 7,646.29 and 4,814.12

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Solution

The fourth proportional to 5,132.84, 7,646.29 and 4,814.12 is: 7,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.84 : 7,646.29 = 4,814.12 : x
  2. Step 2: Convert to fraction form
    5,132.84/7,646.29 = 4,814.12/x
  3. Step 3: Cross multiply
    5,132.84x = 7,646.29 × 4,814.12
  4. Step 4: Simplify right side
    5,132.84x = 36,810,157.61
  5. Step 5: Solve for x
    x = 36,810,157.61/5,132.84
  6. Step 6: Final answer
    x = 7,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.