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Finding the Fourth Proportional to 3,485.02, 5,229.24 and 1,534.90

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Solution

The fourth proportional to 3,485.02, 5,229.24 and 1,534.90 is: 2,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.02 : 5,229.24 = 1,534.90 : x
  2. Step 2: Convert to fraction form
    3,485.02/5,229.24 = 1,534.90/x
  3. Step 3: Cross multiply
    3,485.02x = 5,229.24 × 1,534.90
  4. Step 4: Simplify right side
    3,485.02x = 8,026,360.48
  5. Step 5: Solve for x
    x = 8,026,360.48/3,485.02
  6. Step 6: Final answer
    x = 2,303.10

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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.