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Finding the Fourth Proportional to 3,602.02, 4,970.55 and 2,030.08

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Solution

The fourth proportional to 3,602.02, 4,970.55 and 2,030.08 is: 2,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.02 : 4,970.55 = 2,030.08 : x
  2. Step 2: Convert to fraction form
    3,602.02/4,970.55 = 2,030.08/x
  3. Step 3: Cross multiply
    3,602.02x = 4,970.55 × 2,030.08
  4. Step 4: Simplify right side
    3,602.02x = 10,090,614.14
  5. Step 5: Solve for x
    x = 10,090,614.14/3,602.02
  6. Step 6: Final answer
    x = 2,801.38

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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.