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Finding the Fourth Proportional to 3,152.02, 4,720.83 and 1,509.73

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Solution

The fourth proportional to 3,152.02, 4,720.83 and 1,509.73 is: 2,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.02 : 4,720.83 = 1,509.73 : x
  2. Step 2: Convert to fraction form
    3,152.02/4,720.83 = 1,509.73/x
  3. Step 3: Cross multiply
    3,152.02x = 4,720.83 × 1,509.73
  4. Step 4: Simplify right side
    3,152.02x = 7,127,155.07
  5. Step 5: Solve for x
    x = 7,127,155.07/3,152.02
  6. Step 6: Final answer
    x = 2,261.14

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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.