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Finding the Fourth Proportional to 4,370, 6,554.34 and 1,447.92

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Solution

The fourth proportional to 4,370, 6,554.34 and 1,447.92 is: 2,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370 : 6,554.34 = 1,447.92 : x
  2. Step 2: Convert to fraction form
    4,370/6,554.34 = 1,447.92/x
  3. Step 3: Cross multiply
    4,370x = 6,554.34 × 1,447.92
  4. Step 4: Simplify right side
    4,370x = 9,490,159.97
  5. Step 5: Solve for x
    x = 9,490,159.97/4,370
  6. Step 6: Final answer
    x = 2,171.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.