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Finding the Fourth Proportional to 4,003.88, 6,008.64 and 1,407.02

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Solution

The fourth proportional to 4,003.88, 6,008.64 and 1,407.02 is: 2,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.88 : 6,008.64 = 1,407.02 : x
  2. Step 2: Convert to fraction form
    4,003.88/6,008.64 = 1,407.02/x
  3. Step 3: Cross multiply
    4,003.88x = 6,008.64 × 1,407.02
  4. Step 4: Simplify right side
    4,003.88x = 8,454,276.65
  5. Step 5: Solve for x
    x = 8,454,276.65/4,003.88
  6. Step 6: Final answer
    x = 2,111.52

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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.