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Finding the Fourth Proportional to 4,595.81, 6,903.96 and 2,842.10

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Solution

The fourth proportional to 4,595.81, 6,903.96 and 2,842.10 is: 4,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.81 : 6,903.96 = 2,842.10 : x
  2. Step 2: Convert to fraction form
    4,595.81/6,903.96 = 2,842.10/x
  3. Step 3: Cross multiply
    4,595.81x = 6,903.96 × 2,842.10
  4. Step 4: Simplify right side
    4,595.81x = 19,621,725.43
  5. Step 5: Solve for x
    x = 19,621,725.43/4,595.81
  6. Step 6: Final answer
    x = 4,269.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.