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Finding the Fourth Proportional to 3,303.84, 4,562.40 and 2,127

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Solution

The fourth proportional to 3,303.84, 4,562.40 and 2,127 is: 2,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.84 : 4,562.40 = 2,127 : x
  2. Step 2: Convert to fraction form
    3,303.84/4,562.40 = 2,127/x
  3. Step 3: Cross multiply
    3,303.84x = 4,562.40 × 2,127
  4. Step 4: Simplify right side
    3,303.84x = 9,704,224.80
  5. Step 5: Solve for x
    x = 9,704,224.80/3,303.84
  6. Step 6: Final answer
    x = 2,937.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.