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Finding the Fourth Proportional to 3,497.88, 5,248.64 and 1,549.63

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Solution

The fourth proportional to 3,497.88, 5,248.64 and 1,549.63 is: 2,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.88 : 5,248.64 = 1,549.63 : x
  2. Step 2: Convert to fraction form
    3,497.88/5,248.64 = 1,549.63/x
  3. Step 3: Cross multiply
    3,497.88x = 5,248.64 × 1,549.63
  4. Step 4: Simplify right side
    3,497.88x = 8,133,423.76
  5. Step 5: Solve for x
    x = 8,133,423.76/3,497.88
  6. Step 6: Final answer
    x = 2,325.24

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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.