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Finding the Fourth Proportional to 4,131.76, 6,193.98 and 1,533.01

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Solution

The fourth proportional to 4,131.76, 6,193.98 and 1,533.01 is: 2,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.76 : 6,193.98 = 1,533.01 : x
  2. Step 2: Convert to fraction form
    4,131.76/6,193.98 = 1,533.01/x
  3. Step 3: Cross multiply
    4,131.76x = 6,193.98 × 1,533.01
  4. Step 4: Simplify right side
    4,131.76x = 9,495,433.28
  5. Step 5: Solve for x
    x = 9,495,433.28/4,131.76
  6. Step 6: Final answer
    x = 2,298.16

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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.