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Finding the Fourth Proportional to 7,041.60, 9,717.48 and 3,898.08

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Solution

The fourth proportional to 7,041.60, 9,717.48 and 3,898.08 is: 5,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.60 : 9,717.48 = 3,898.08 : x
  2. Step 2: Convert to fraction form
    7,041.60/9,717.48 = 3,898.08/x
  3. Step 3: Cross multiply
    7,041.60x = 9,717.48 × 3,898.08
  4. Step 4: Simplify right side
    7,041.60x = 37,879,514.44
  5. Step 5: Solve for x
    x = 37,879,514.44/7,041.60
  6. Step 6: Final answer
    x = 5,379.39

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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.