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Finding the Fourth Proportional to 4,697.64, 7,043.72 and 1,776.17

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Solution

The fourth proportional to 4,697.64, 7,043.72 and 1,776.17 is: 2,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.64 : 7,043.72 = 1,776.17 : x
  2. Step 2: Convert to fraction form
    4,697.64/7,043.72 = 1,776.17/x
  3. Step 3: Cross multiply
    4,697.64x = 7,043.72 × 1,776.17
  4. Step 4: Simplify right side
    4,697.64x = 12,510,866.20
  5. Step 5: Solve for x
    x = 12,510,866.20/4,697.64
  6. Step 6: Final answer
    x = 2,663.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.