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Finding the Fourth Proportional to 3,762.73, 5,641.36 and 1,572.08

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Solution

The fourth proportional to 3,762.73, 5,641.36 and 1,572.08 is: 2,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.73 : 5,641.36 = 1,572.08 : x
  2. Step 2: Convert to fraction form
    3,762.73/5,641.36 = 1,572.08/x
  3. Step 3: Cross multiply
    3,762.73x = 5,641.36 × 1,572.08
  4. Step 4: Simplify right side
    3,762.73x = 8,868,679.40
  5. Step 5: Solve for x
    x = 8,868,679.40/3,762.73
  6. Step 6: Final answer
    x = 2,356.98

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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.