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Finding the Fourth Proportional to 4,598.50, 6,898.40 and 1,825.46

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Solution

The fourth proportional to 4,598.50, 6,898.40 and 1,825.46 is: 2,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.50 : 6,898.40 = 1,825.46 : x
  2. Step 2: Convert to fraction form
    4,598.50/6,898.40 = 1,825.46/x
  3. Step 3: Cross multiply
    4,598.50x = 6,898.40 × 1,825.46
  4. Step 4: Simplify right side
    4,598.50x = 12,592,753.26
  5. Step 5: Solve for x
    x = 12,592,753.26/4,598.50
  6. Step 6: Final answer
    x = 2,738.45

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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.