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Finding the Fourth Proportional to 3,053.36, 4,214.76 and 1,812.08

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Solution

The fourth proportional to 3,053.36, 4,214.76 and 1,812.08 is: 2,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.36 : 4,214.76 = 1,812.08 : x
  2. Step 2: Convert to fraction form
    3,053.36/4,214.76 = 1,812.08/x
  3. Step 3: Cross multiply
    3,053.36x = 4,214.76 × 1,812.08
  4. Step 4: Simplify right side
    3,053.36x = 7,637,482.30
  5. Step 5: Solve for x
    x = 7,637,482.30/3,053.36
  6. Step 6: Final answer
    x = 2,501.34

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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.