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Finding the Fourth Proportional to 3,544.64, 4,893.76 and 2,497.76

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Solution

The fourth proportional to 3,544.64, 4,893.76 and 2,497.76 is: 3,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.64 : 4,893.76 = 2,497.76 : x
  2. Step 2: Convert to fraction form
    3,544.64/4,893.76 = 2,497.76/x
  3. Step 3: Cross multiply
    3,544.64x = 4,893.76 × 2,497.76
  4. Step 4: Simplify right side
    3,544.64x = 12,223,437.98
  5. Step 5: Solve for x
    x = 12,223,437.98/3,544.64
  6. Step 6: Final answer
    x = 3,448.43

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1.5x scale

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.