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Finding the Fourth Proportional to 4,720.77, 6,516.99 and 3,656.16

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Solution

The fourth proportional to 4,720.77, 6,516.99 and 3,656.16 is: 5,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.77 : 6,516.99 = 3,656.16 : x
  2. Step 2: Convert to fraction form
    4,720.77/6,516.99 = 3,656.16/x
  3. Step 3: Cross multiply
    4,720.77x = 6,516.99 × 3,656.16
  4. Step 4: Simplify right side
    4,720.77x = 23,827,158.16
  5. Step 5: Solve for x
    x = 23,827,158.16/4,720.77
  6. Step 6: Final answer
    x = 5,047.30

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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.