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Finding the Fourth Proportional to 5,383.76, 7,427.48 and 3,970.77

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Solution

The fourth proportional to 5,383.76, 7,427.48 and 3,970.77 is: 5,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.76 : 7,427.48 = 3,970.77 : x
  2. Step 2: Convert to fraction form
    5,383.76/7,427.48 = 3,970.77/x
  3. Step 3: Cross multiply
    5,383.76x = 7,427.48 × 3,970.77
  4. Step 4: Simplify right side
    5,383.76x = 29,492,794.91
  5. Step 5: Solve for x
    x = 29,492,794.91/5,383.76
  6. Step 6: Final answer
    x = 5,478.11

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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.