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Finding the Fourth Proportional to 3,275.84, 4,913.00 and 935.78

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Solution

The fourth proportional to 3,275.84, 4,913.00 and 935.78 is: 1,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.84 : 4,913.00 = 935.78 : x
  2. Step 2: Convert to fraction form
    3,275.84/4,913.00 = 935.78/x
  3. Step 3: Cross multiply
    3,275.84x = 4,913.00 × 935.78
  4. Step 4: Simplify right side
    3,275.84x = 4,597,482.46
  5. Step 5: Solve for x
    x = 4,597,482.46/3,275.84
  6. Step 6: Final answer
    x = 1,403.45

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1.5x scale

Why These Related Problems?

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