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Finding the Fourth Proportional to 4,057.34, 5,598.79 and 2,289.38

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Solution

The fourth proportional to 4,057.34, 5,598.79 and 2,289.38 is: 3,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.34 : 5,598.79 = 2,289.38 : x
  2. Step 2: Convert to fraction form
    4,057.34/5,598.79 = 2,289.38/x
  3. Step 3: Cross multiply
    4,057.34x = 5,598.79 × 2,289.38
  4. Step 4: Simplify right side
    4,057.34x = 12,817,724.13
  5. Step 5: Solve for x
    x = 12,817,724.13/4,057.34
  6. Step 6: Final answer
    x = 3,159.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.