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Finding the Fourth Proportional to 4,707.07, 7,061.78 and 3,323.11

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Solution

The fourth proportional to 4,707.07, 7,061.78 and 3,323.11 is: 4,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.07 : 7,061.78 = 3,323.11 : x
  2. Step 2: Convert to fraction form
    4,707.07/7,061.78 = 3,323.11/x
  3. Step 3: Cross multiply
    4,707.07x = 7,061.78 × 3,323.11
  4. Step 4: Simplify right side
    4,707.07x = 23,467,071.74
  5. Step 5: Solve for x
    x = 23,467,071.74/4,707.07
  6. Step 6: Final answer
    x = 4,985.49

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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.