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Finding the Fourth Proportional to 3,447.84, 4,758.02 and 1,875.94

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Solution

The fourth proportional to 3,447.84, 4,758.02 and 1,875.94 is: 2,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.84 : 4,758.02 = 1,875.94 : x
  2. Step 2: Convert to fraction form
    3,447.84/4,758.02 = 1,875.94/x
  3. Step 3: Cross multiply
    3,447.84x = 4,758.02 × 1,875.94
  4. Step 4: Simplify right side
    3,447.84x = 8,925,760.04
  5. Step 5: Solve for x
    x = 8,925,760.04/3,447.84
  6. Step 6: Final answer
    x = 2,588.80

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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.