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Finding the Fourth Proportional to 4,126.28, 5,693.73 and 2,358

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Solution

The fourth proportional to 4,126.28, 5,693.73 and 2,358 is: 3,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.28 : 5,693.73 = 2,358 : x
  2. Step 2: Convert to fraction form
    4,126.28/5,693.73 = 2,358/x
  3. Step 3: Cross multiply
    4,126.28x = 5,693.73 × 2,358
  4. Step 4: Simplify right side
    4,126.28x = 13,425,815.34
  5. Step 5: Solve for x
    x = 13,425,815.34/4,126.28
  6. Step 6: Final answer
    x = 3,253.74

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