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Finding the Fourth Proportional to 4,807.60, 7,214.10 and 2,033.80

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Solution

The fourth proportional to 4,807.60, 7,214.10 and 2,033.80 is: 3,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.60 : 7,214.10 = 2,033.80 : x
  2. Step 2: Convert to fraction form
    4,807.60/7,214.10 = 2,033.80/x
  3. Step 3: Cross multiply
    4,807.60x = 7,214.10 × 2,033.80
  4. Step 4: Simplify right side
    4,807.60x = 14,672,036.58
  5. Step 5: Solve for x
    x = 14,672,036.58/4,807.60
  6. Step 6: Final answer
    x = 3,051.84

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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.