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Finding the Fourth Proportional to 4,000.30, 6,001.05 and 1,402.63

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Solution

The fourth proportional to 4,000.30, 6,001.05 and 1,402.63 is: 2,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.30 : 6,001.05 = 1,402.63 : x
  2. Step 2: Convert to fraction form
    4,000.30/6,001.05 = 1,402.63/x
  3. Step 3: Cross multiply
    4,000.30x = 6,001.05 × 1,402.63
  4. Step 4: Simplify right side
    4,000.30x = 8,417,252.76
  5. Step 5: Solve for x
    x = 8,417,252.76/4,000.30
  6. Step 6: Final answer
    x = 2,104.16

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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.