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Finding the Fourth Proportional to 3,507.32, 5,258.54 and 1,774.76

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Solution

The fourth proportional to 3,507.32, 5,258.54 and 1,774.76 is: 2,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.32 : 5,258.54 = 1,774.76 : x
  2. Step 2: Convert to fraction form
    3,507.32/5,258.54 = 1,774.76/x
  3. Step 3: Cross multiply
    3,507.32x = 5,258.54 × 1,774.76
  4. Step 4: Simplify right side
    3,507.32x = 9,332,646.45
  5. Step 5: Solve for x
    x = 9,332,646.45/3,507.32
  6. Step 6: Final answer
    x = 2,660.91

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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.