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Finding the Fourth Proportional to 4,673.64, 7,040.13 and 4,275.24

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Solution

The fourth proportional to 4,673.64, 7,040.13 and 4,275.24 is: 6,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.64 : 7,040.13 = 4,275.24 : x
  2. Step 2: Convert to fraction form
    4,673.64/7,040.13 = 4,275.24/x
  3. Step 3: Cross multiply
    4,673.64x = 7,040.13 × 4,275.24
  4. Step 4: Simplify right side
    4,673.64x = 30,098,245.38
  5. Step 5: Solve for x
    x = 30,098,245.38/4,673.64
  6. Step 6: Final answer
    x = 6,440.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.