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Finding the Fourth Proportional to 3,603.90, 4,973.20 and 2,031.96

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Solution

The fourth proportional to 3,603.90, 4,973.20 and 2,031.96 is: 2,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.90 : 4,973.20 = 2,031.96 : x
  2. Step 2: Convert to fraction form
    3,603.90/4,973.20 = 2,031.96/x
  3. Step 3: Cross multiply
    3,603.90x = 4,973.20 × 2,031.96
  4. Step 4: Simplify right side
    3,603.90x = 10,105,343.47
  5. Step 5: Solve for x
    x = 10,105,343.47/3,603.90
  6. Step 6: Final answer
    x = 2,804.00

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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.