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Finding the Fourth Proportional to 4,770.63, 7,154.06 and 1,482.71

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Solution

The fourth proportional to 4,770.63, 7,154.06 and 1,482.71 is: 2,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.63 : 7,154.06 = 1,482.71 : x
  2. Step 2: Convert to fraction form
    4,770.63/7,154.06 = 1,482.71/x
  3. Step 3: Cross multiply
    4,770.63x = 7,154.06 × 1,482.71
  4. Step 4: Simplify right side
    4,770.63x = 10,607,353.12
  5. Step 5: Solve for x
    x = 10,607,353.12/4,770.63
  6. Step 6: Final answer
    x = 2,223.47

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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.