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Finding the Fourth Proportional to 3,569.79, 4,926.35 and 2,057.00

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Solution

The fourth proportional to 3,569.79, 4,926.35 and 2,057.00 is: 2,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.79 : 4,926.35 = 2,057.00 : x
  2. Step 2: Convert to fraction form
    3,569.79/4,926.35 = 2,057.00/x
  3. Step 3: Cross multiply
    3,569.79x = 4,926.35 × 2,057.00
  4. Step 4: Simplify right side
    3,569.79x = 10,133,519.41
  5. Step 5: Solve for x
    x = 10,133,519.41/3,569.79
  6. Step 6: Final answer
    x = 2,838.69

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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.