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Finding the Fourth Proportional to 5,695.54, 7,860.56 and 3,457.28

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Solution

The fourth proportional to 5,695.54, 7,860.56 and 3,457.28 is: 4,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.54 : 7,860.56 = 3,457.28 : x
  2. Step 2: Convert to fraction form
    5,695.54/7,860.56 = 3,457.28/x
  3. Step 3: Cross multiply
    5,695.54x = 7,860.56 × 3,457.28
  4. Step 4: Simplify right side
    5,695.54x = 27,176,139.59
  5. Step 5: Solve for x
    x = 27,176,139.59/5,695.54
  6. Step 6: Final answer
    x = 4,771.48

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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.