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Finding the Fourth Proportional to 3,841.76, 5,302.30 and 3,666.46

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Solution

The fourth proportional to 3,841.76, 5,302.30 and 3,666.46 is: 5,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.76 : 5,302.30 = 3,666.46 : x
  2. Step 2: Convert to fraction form
    3,841.76/5,302.30 = 3,666.46/x
  3. Step 3: Cross multiply
    3,841.76x = 5,302.30 × 3,666.46
  4. Step 4: Simplify right side
    3,841.76x = 19,440,670.86
  5. Step 5: Solve for x
    x = 19,440,670.86/3,841.76
  6. Step 6: Final answer
    x = 5,060.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.