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Finding the Fourth Proportional to 4,867.76, 7,303.62 and 2,269.10

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Solution

The fourth proportional to 4,867.76, 7,303.62 and 2,269.10 is: 3,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.76 : 7,303.62 = 2,269.10 : x
  2. Step 2: Convert to fraction form
    4,867.76/7,303.62 = 2,269.10/x
  3. Step 3: Cross multiply
    4,867.76x = 7,303.62 × 2,269.10
  4. Step 4: Simplify right side
    4,867.76x = 16,572,644.14
  5. Step 5: Solve for x
    x = 16,572,644.14/4,867.76
  6. Step 6: Final answer
    x = 3,404.57

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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.