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Finding the Fourth Proportional to 3,509.32, 5,261.54 and 1,776.76

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Solution

The fourth proportional to 3,509.32, 5,261.54 and 1,776.76 is: 2,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.32 : 5,261.54 = 1,776.76 : x
  2. Step 2: Convert to fraction form
    3,509.32/5,261.54 = 1,776.76/x
  3. Step 3: Cross multiply
    3,509.32x = 5,261.54 × 1,776.76
  4. Step 4: Simplify right side
    3,509.32x = 9,348,493.81
  5. Step 5: Solve for x
    x = 9,348,493.81/3,509.32
  6. Step 6: Final answer
    x = 2,663.90

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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.