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Finding the Fourth Proportional to 3,497.84, 4,827.11 and 2,152.95

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Solution

The fourth proportional to 3,497.84, 4,827.11 and 2,152.95 is: 2,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.84 : 4,827.11 = 2,152.95 : x
  2. Step 2: Convert to fraction form
    3,497.84/4,827.11 = 2,152.95/x
  3. Step 3: Cross multiply
    3,497.84x = 4,827.11 × 2,152.95
  4. Step 4: Simplify right side
    3,497.84x = 10,392,531.86
  5. Step 5: Solve for x
    x = 10,392,531.86/3,497.84
  6. Step 6: Final answer
    x = 2,971.13

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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.