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Finding the Fourth Proportional to 3,182.49, 4,752.30 and 2,598.63

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Solution

The fourth proportional to 3,182.49, 4,752.30 and 2,598.63 is: 3,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.49 : 4,752.30 = 2,598.63 : x
  2. Step 2: Convert to fraction form
    3,182.49/4,752.30 = 2,598.63/x
  3. Step 3: Cross multiply
    3,182.49x = 4,752.30 × 2,598.63
  4. Step 4: Simplify right side
    3,182.49x = 12,349,444.38
  5. Step 5: Solve for x
    x = 12,349,444.38/3,182.49
  6. Step 6: Final answer
    x = 3,880.44

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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.