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Finding the Fourth Proportional to 4,210.79, 5,804.73 and 2,947.86

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Solution

The fourth proportional to 4,210.79, 5,804.73 and 2,947.86 is: 4,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.79 : 5,804.73 = 2,947.86 : x
  2. Step 2: Convert to fraction form
    4,210.79/5,804.73 = 2,947.86/x
  3. Step 3: Cross multiply
    4,210.79x = 5,804.73 × 2,947.86
  4. Step 4: Simplify right side
    4,210.79x = 17,111,531.38
  5. Step 5: Solve for x
    x = 17,111,531.38/4,210.79
  6. Step 6: Final answer
    x = 4,063.74

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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.