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Finding the Fourth Proportional to 3,295.40, 4,547.70 and 1,879.40

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Solution

The fourth proportional to 3,295.40, 4,547.70 and 1,879.40 is: 2,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.40 : 4,547.70 = 1,879.40 : x
  2. Step 2: Convert to fraction form
    3,295.40/4,547.70 = 1,879.40/x
  3. Step 3: Cross multiply
    3,295.40x = 4,547.70 × 1,879.40
  4. Step 4: Simplify right side
    3,295.40x = 8,546,947.38
  5. Step 5: Solve for x
    x = 8,546,947.38/3,295.40
  6. Step 6: Final answer
    x = 2,593.60

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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.