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Finding the Fourth Proportional to 3,064.71, 4,597.02 and 756.21

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Solution

The fourth proportional to 3,064.71, 4,597.02 and 756.21 is: 1,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.71 : 4,597.02 = 756.21 : x
  2. Step 2: Convert to fraction form
    3,064.71/4,597.02 = 756.21/x
  3. Step 3: Cross multiply
    3,064.71x = 4,597.02 × 756.21
  4. Step 4: Simplify right side
    3,064.71x = 3,476,312.49
  5. Step 5: Solve for x
    x = 3,476,312.49/3,064.71
  6. Step 6: Final answer
    x = 1,134.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.