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Finding the Fourth Proportional to 4,605.12, 6,355.04 and 2,509.28

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Solution

The fourth proportional to 4,605.12, 6,355.04 and 2,509.28 is: 3,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.12 : 6,355.04 = 2,509.28 : x
  2. Step 2: Convert to fraction form
    4,605.12/6,355.04 = 2,509.28/x
  3. Step 3: Cross multiply
    4,605.12x = 6,355.04 × 2,509.28
  4. Step 4: Simplify right side
    4,605.12x = 15,946,574.77
  5. Step 5: Solve for x
    x = 15,946,574.77/4,605.12
  6. Step 6: Final answer
    x = 3,462.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.