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Finding the Fourth Proportional to 4,691.66, 7,021 and 3,707.50

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Solution

The fourth proportional to 4,691.66, 7,021 and 3,707.50 is: 5,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.66 : 7,021 = 3,707.50 : x
  2. Step 2: Convert to fraction form
    4,691.66/7,021 = 3,707.50/x
  3. Step 3: Cross multiply
    4,691.66x = 7,021 × 3,707.50
  4. Step 4: Simplify right side
    4,691.66x = 26,030,357.50
  5. Step 5: Solve for x
    x = 26,030,357.50/4,691.66
  6. Step 6: Final answer
    x = 5,548.22

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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.