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Finding the Fourth Proportional to 3,192.59, 4,756.79 and 3,013.53

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Solution

The fourth proportional to 3,192.59, 4,756.79 and 3,013.53 is: 4,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.59 : 4,756.79 = 3,013.53 : x
  2. Step 2: Convert to fraction form
    3,192.59/4,756.79 = 3,013.53/x
  3. Step 3: Cross multiply
    3,192.59x = 4,756.79 × 3,013.53
  4. Step 4: Simplify right side
    3,192.59x = 14,334,729.37
  5. Step 5: Solve for x
    x = 14,334,729.37/3,192.59
  6. Step 6: Final answer
    x = 4,490.00

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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.