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Finding the Fourth Proportional to 4,032.32, 6,038.74 and 4,003.16

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Solution

The fourth proportional to 4,032.32, 6,038.74 and 4,003.16 is: 5,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.32 : 6,038.74 = 4,003.16 : x
  2. Step 2: Convert to fraction form
    4,032.32/6,038.74 = 4,003.16/x
  3. Step 3: Cross multiply
    4,032.32x = 6,038.74 × 4,003.16
  4. Step 4: Simplify right side
    4,032.32x = 24,174,042.42
  5. Step 5: Solve for x
    x = 24,174,042.42/4,032.32
  6. Step 6: Final answer
    x = 5,995.07

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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.