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Finding the Fourth Proportional to 4,000.60, 6,000.72 and 1,534.96

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Solution

The fourth proportional to 4,000.60, 6,000.72 and 1,534.96 is: 2,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.60 : 6,000.72 = 1,534.96 : x
  2. Step 2: Convert to fraction form
    4,000.60/6,000.72 = 1,534.96/x
  3. Step 3: Cross multiply
    4,000.60x = 6,000.72 × 1,534.96
  4. Step 4: Simplify right side
    4,000.60x = 9,210,865.17
  5. Step 5: Solve for x
    x = 9,210,865.17/4,000.60
  6. Step 6: Final answer
    x = 2,302.37

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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.