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Finding the Fourth Proportional to 4,813.83, 6,643.03 and 2,689.40

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Solution

The fourth proportional to 4,813.83, 6,643.03 and 2,689.40 is: 3,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.83 : 6,643.03 = 2,689.40 : x
  2. Step 2: Convert to fraction form
    4,813.83/6,643.03 = 2,689.40/x
  3. Step 3: Cross multiply
    4,813.83x = 6,643.03 × 2,689.40
  4. Step 4: Simplify right side
    4,813.83x = 17,865,779.81
  5. Step 5: Solve for x
    x = 17,865,779.81/4,813.83
  6. Step 6: Final answer
    x = 3,711.34

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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.