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Finding the Fourth Proportional to 5,653.12, 7,799.40 and 3,666.16

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Solution

The fourth proportional to 5,653.12, 7,799.40 and 3,666.16 is: 5,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.12 : 7,799.40 = 3,666.16 : x
  2. Step 2: Convert to fraction form
    5,653.12/7,799.40 = 3,666.16/x
  3. Step 3: Cross multiply
    5,653.12x = 7,799.40 × 3,666.16
  4. Step 4: Simplify right side
    5,653.12x = 28,593,848.30
  5. Step 5: Solve for x
    x = 28,593,848.30/5,653.12
  6. Step 6: Final answer
    x = 5,058.06

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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.