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Finding the Fourth Proportional to 4,693.28, 6,482.13 and 3,697.28

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Solution

The fourth proportional to 4,693.28, 6,482.13 and 3,697.28 is: 5,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.28 : 6,482.13 = 3,697.28 : x
  2. Step 2: Convert to fraction form
    4,693.28/6,482.13 = 3,697.28/x
  3. Step 3: Cross multiply
    4,693.28x = 6,482.13 × 3,697.28
  4. Step 4: Simplify right side
    4,693.28x = 23,966,227.64
  5. Step 5: Solve for x
    x = 23,966,227.64/4,693.28
  6. Step 6: Final answer
    x = 5,106.50

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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.