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Finding the Fourth Proportional to 4,762.32, 6,572.64 and 2,772.96

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Solution

The fourth proportional to 4,762.32, 6,572.64 and 2,772.96 is: 3,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.32 : 6,572.64 = 2,772.96 : x
  2. Step 2: Convert to fraction form
    4,762.32/6,572.64 = 2,772.96/x
  3. Step 3: Cross multiply
    4,762.32x = 6,572.64 × 2,772.96
  4. Step 4: Simplify right side
    4,762.32x = 18,225,667.81
  5. Step 5: Solve for x
    x = 18,225,667.81/4,762.32
  6. Step 6: Final answer
    x = 3,827.06

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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.