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Finding the Fourth Proportional to 6,498.32, 8,967.69 and 3,665.58

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Solution

The fourth proportional to 6,498.32, 8,967.69 and 3,665.58 is: 5,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.32 : 8,967.69 = 3,665.58 : x
  2. Step 2: Convert to fraction form
    6,498.32/8,967.69 = 3,665.58/x
  3. Step 3: Cross multiply
    6,498.32x = 8,967.69 × 3,665.58
  4. Step 4: Simplify right side
    6,498.32x = 32,871,785.11
  5. Step 5: Solve for x
    x = 32,871,785.11/6,498.32
  6. Step 6: Final answer
    x = 5,058.51

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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.