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Finding the Fourth Proportional to 3,602.15, 5,402.00 and 1,752.08

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Solution

The fourth proportional to 3,602.15, 5,402.00 and 1,752.08 is: 2,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.15 : 5,402.00 = 1,752.08 : x
  2. Step 2: Convert to fraction form
    3,602.15/5,402.00 = 1,752.08/x
  3. Step 3: Cross multiply
    3,602.15x = 5,402.00 × 1,752.08
  4. Step 4: Simplify right side
    3,602.15x = 9,464,740.90
  5. Step 5: Solve for x
    x = 9,464,740.90/3,602.15
  6. Step 6: Final answer
    x = 2,627.53

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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.