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Finding the Fourth Proportional to 4,950.43, 7,435.90 and 4,784.35

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Solution

The fourth proportional to 4,950.43, 7,435.90 and 4,784.35 is: 7,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.43 : 7,435.90 = 4,784.35 : x
  2. Step 2: Convert to fraction form
    4,950.43/7,435.90 = 4,784.35/x
  3. Step 3: Cross multiply
    4,950.43x = 7,435.90 × 4,784.35
  4. Step 4: Simplify right side
    4,950.43x = 35,575,948.17
  5. Step 5: Solve for x
    x = 35,575,948.17/4,950.43
  6. Step 6: Final answer
    x = 7,186.44

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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.