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Finding the Fourth Proportional to 3,577.47, 5,356.29 and 2,697.30

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Solution

The fourth proportional to 3,577.47, 5,356.29 and 2,697.30 is: 4,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.47 : 5,356.29 = 2,697.30 : x
  2. Step 2: Convert to fraction form
    3,577.47/5,356.29 = 2,697.30/x
  3. Step 3: Cross multiply
    3,577.47x = 5,356.29 × 2,697.30
  4. Step 4: Simplify right side
    3,577.47x = 14,447,521.02
  5. Step 5: Solve for x
    x = 14,447,521.02/3,577.47
  6. Step 6: Final answer
    x = 4,038.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.