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Finding the Fourth Proportional to 4,776.04, 7,160.46 and 3,133

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Solution

The fourth proportional to 4,776.04, 7,160.46 and 3,133 is: 4,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.04 : 7,160.46 = 3,133 : x
  2. Step 2: Convert to fraction form
    4,776.04/7,160.46 = 3,133/x
  3. Step 3: Cross multiply
    4,776.04x = 7,160.46 × 3,133
  4. Step 4: Simplify right side
    4,776.04x = 22,433,721.18
  5. Step 5: Solve for x
    x = 22,433,721.18/4,776.04
  6. Step 6: Final answer
    x = 4,697.14

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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.