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Finding the Fourth Proportional to 4,536.75, 6,807.76 and 1,904.02

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Solution

The fourth proportional to 4,536.75, 6,807.76 and 1,904.02 is: 2,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.75 : 6,807.76 = 1,904.02 : x
  2. Step 2: Convert to fraction form
    4,536.75/6,807.76 = 1,904.02/x
  3. Step 3: Cross multiply
    4,536.75x = 6,807.76 × 1,904.02
  4. Step 4: Simplify right side
    4,536.75x = 12,962,111.20
  5. Step 5: Solve for x
    x = 12,962,111.20/4,536.75
  6. Step 6: Final answer
    x = 2,857.14

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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.