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Finding the Fourth Proportional to 4,293.71, 5,925.38 and 2,800.77

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Solution

The fourth proportional to 4,293.71, 5,925.38 and 2,800.77 is: 3,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.71 : 5,925.38 = 2,800.77 : x
  2. Step 2: Convert to fraction form
    4,293.71/5,925.38 = 2,800.77/x
  3. Step 3: Cross multiply
    4,293.71x = 5,925.38 × 2,800.77
  4. Step 4: Simplify right side
    4,293.71x = 16,595,648.36
  5. Step 5: Solve for x
    x = 16,595,648.36/4,293.71
  6. Step 6: Final answer
    x = 3,865.10

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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.