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Finding the Fourth Proportional to 4,723.64, 6,502.62 and 3,602.60

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Solution

The fourth proportional to 4,723.64, 6,502.62 and 3,602.60 is: 4,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.64 : 6,502.62 = 3,602.60 : x
  2. Step 2: Convert to fraction form
    4,723.64/6,502.62 = 3,602.60/x
  3. Step 3: Cross multiply
    4,723.64x = 6,502.62 × 3,602.60
  4. Step 4: Simplify right side
    4,723.64x = 23,426,338.81
  5. Step 5: Solve for x
    x = 23,426,338.81/4,723.64
  6. Step 6: Final answer
    x = 4,959.38

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Why These Related Problems?

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