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Finding the Fourth Proportional to 5,875.84, 8,813.20 and 2,178.08

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Solution

The fourth proportional to 5,875.84, 8,813.20 and 2,178.08 is: 3,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.84 : 8,813.20 = 2,178.08 : x
  2. Step 2: Convert to fraction form
    5,875.84/8,813.20 = 2,178.08/x
  3. Step 3: Cross multiply
    5,875.84x = 8,813.20 × 2,178.08
  4. Step 4: Simplify right side
    5,875.84x = 19,195,854.66
  5. Step 5: Solve for x
    x = 19,195,854.66/5,875.84
  6. Step 6: Final answer
    x = 3,266.91

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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.