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Finding the Fourth Proportional to 4,770.52, 7,154.87 and 1,483.65

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Solution

The fourth proportional to 4,770.52, 7,154.87 and 1,483.65 is: 2,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.52 : 7,154.87 = 1,483.65 : x
  2. Step 2: Convert to fraction form
    4,770.52/7,154.87 = 1,483.65/x
  3. Step 3: Cross multiply
    4,770.52x = 7,154.87 × 1,483.65
  4. Step 4: Simplify right side
    4,770.52x = 10,615,315.46
  5. Step 5: Solve for x
    x = 10,615,315.46/4,770.52
  6. Step 6: Final answer
    x = 2,225.19

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Why These Related Problems?

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