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Finding the Fourth Proportional to 3,153.36, 4,730.08 and 1,509.60

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Solution

The fourth proportional to 3,153.36, 4,730.08 and 1,509.60 is: 2,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.36 : 4,730.08 = 1,509.60 : x
  2. Step 2: Convert to fraction form
    3,153.36/4,730.08 = 1,509.60/x
  3. Step 3: Cross multiply
    3,153.36x = 4,730.08 × 1,509.60
  4. Step 4: Simplify right side
    3,153.36x = 7,140,528.77
  5. Step 5: Solve for x
    x = 7,140,528.77/3,153.36
  6. Step 6: Final answer
    x = 2,264.42

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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.