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Finding the Fourth Proportional to 3,602.04, 4,970.85 and 2,008.63

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Solution

The fourth proportional to 3,602.04, 4,970.85 and 2,008.63 is: 2,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.04 : 4,970.85 = 2,008.63 : x
  2. Step 2: Convert to fraction form
    3,602.04/4,970.85 = 2,008.63/x
  3. Step 3: Cross multiply
    3,602.04x = 4,970.85 × 2,008.63
  4. Step 4: Simplify right side
    3,602.04x = 9,984,598.44
  5. Step 5: Solve for x
    x = 9,984,598.44/3,602.04
  6. Step 6: Final answer
    x = 2,771.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.