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Finding the Fourth Proportional to 4,684.01, 6,462.32 and 3,005.28

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Solution

The fourth proportional to 4,684.01, 6,462.32 and 3,005.28 is: 4,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.01 : 6,462.32 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    4,684.01/6,462.32 = 3,005.28/x
  3. Step 3: Cross multiply
    4,684.01x = 6,462.32 × 3,005.28
  4. Step 4: Simplify right side
    4,684.01x = 19,421,066.02
  5. Step 5: Solve for x
    x = 19,421,066.02/4,684.01
  6. Step 6: Final answer
    x = 4,146.25

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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.