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Finding the Fourth Proportional to 4,707.63, 6,496.32 and 2,583.12

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Solution

The fourth proportional to 4,707.63, 6,496.32 and 2,583.12 is: 3,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.63 : 6,496.32 = 2,583.12 : x
  2. Step 2: Convert to fraction form
    4,707.63/6,496.32 = 2,583.12/x
  3. Step 3: Cross multiply
    4,707.63x = 6,496.32 × 2,583.12
  4. Step 4: Simplify right side
    4,707.63x = 16,780,740.07
  5. Step 5: Solve for x
    x = 16,780,740.07/4,707.63
  6. Step 6: Final answer
    x = 3,564.58

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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.