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Finding the Fourth Proportional to 3,802.10, 5,699.37 and 1,203.08

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Solution

The fourth proportional to 3,802.10, 5,699.37 and 1,203.08 is: 1,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.10 : 5,699.37 = 1,203.08 : x
  2. Step 2: Convert to fraction form
    3,802.10/5,699.37 = 1,203.08/x
  3. Step 3: Cross multiply
    3,802.10x = 5,699.37 × 1,203.08
  4. Step 4: Simplify right side
    3,802.10x = 6,856,798.06
  5. Step 5: Solve for x
    x = 6,856,798.06/3,802.10
  6. Step 6: Final answer
    x = 1,803.42

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1.5x scale

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.