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Finding the Fourth Proportional to 5,095.84, 7,641.16 and 1,808.44

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Solution

The fourth proportional to 5,095.84, 7,641.16 and 1,808.44 is: 2,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.84 : 7,641.16 = 1,808.44 : x
  2. Step 2: Convert to fraction form
    5,095.84/7,641.16 = 1,808.44/x
  3. Step 3: Cross multiply
    5,095.84x = 7,641.16 × 1,808.44
  4. Step 4: Simplify right side
    5,095.84x = 13,818,579.39
  5. Step 5: Solve for x
    x = 13,818,579.39/5,095.84
  6. Step 6: Final answer
    x = 2,711.74

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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.