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Finding the Fourth Proportional to 3,602.86, 4,966.03 and 3,537.25

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Solution

The fourth proportional to 3,602.86, 4,966.03 and 3,537.25 is: 4,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.86 : 4,966.03 = 3,537.25 : x
  2. Step 2: Convert to fraction form
    3,602.86/4,966.03 = 3,537.25/x
  3. Step 3: Cross multiply
    3,602.86x = 4,966.03 × 3,537.25
  4. Step 4: Simplify right side
    3,602.86x = 17,566,089.62
  5. Step 5: Solve for x
    x = 17,566,089.62/3,602.86
  6. Step 6: Final answer
    x = 4,875.60

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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.