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Finding the Fourth Proportional to 4,807.60, 7,210.20 and 1,845.40

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Solution

The fourth proportional to 4,807.60, 7,210.20 and 1,845.40 is: 2,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.60 : 7,210.20 = 1,845.40 : x
  2. Step 2: Convert to fraction form
    4,807.60/7,210.20 = 1,845.40/x
  3. Step 3: Cross multiply
    4,807.60x = 7,210.20 × 1,845.40
  4. Step 4: Simplify right side
    4,807.60x = 13,305,703.08
  5. Step 5: Solve for x
    x = 13,305,703.08/4,807.60
  6. Step 6: Final answer
    x = 2,767.64

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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.