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Finding the Fourth Proportional to 4,913.62, 7,368.96 and 1,403.38

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Solution

The fourth proportional to 4,913.62, 7,368.96 and 1,403.38 is: 2,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.62 : 7,368.96 = 1,403.38 : x
  2. Step 2: Convert to fraction form
    4,913.62/7,368.96 = 1,403.38/x
  3. Step 3: Cross multiply
    4,913.62x = 7,368.96 × 1,403.38
  4. Step 4: Simplify right side
    4,913.62x = 10,341,451.08
  5. Step 5: Solve for x
    x = 10,341,451.08/4,913.62
  6. Step 6: Final answer
    x = 2,104.65

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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.