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Finding the Fourth Proportional to 3,780.48, 5,641.44 and 3,751.68

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Solution

The fourth proportional to 3,780.48, 5,641.44 and 3,751.68 is: 5,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.48 : 5,641.44 = 3,751.68 : x
  2. Step 2: Convert to fraction form
    3,780.48/5,641.44 = 3,751.68/x
  3. Step 3: Cross multiply
    3,780.48x = 5,641.44 × 3,751.68
  4. Step 4: Simplify right side
    3,780.48x = 21,164,877.62
  5. Step 5: Solve for x
    x = 21,164,877.62/3,780.48
  6. Step 6: Final answer
    x = 5,598.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.