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Finding the Fourth Proportional to 2,866.56, 3,956.72 and 2,477.76

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Solution

The fourth proportional to 2,866.56, 3,956.72 and 2,477.76 is: 3,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.56 : 3,956.72 = 2,477.76 : x
  2. Step 2: Convert to fraction form
    2,866.56/3,956.72 = 2,477.76/x
  3. Step 3: Cross multiply
    2,866.56x = 3,956.72 × 2,477.76
  4. Step 4: Simplify right side
    2,866.56x = 9,803,802.55
  5. Step 5: Solve for x
    x = 9,803,802.55/2,866.56
  6. Step 6: Final answer
    x = 3,420.06

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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.