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Finding the Fourth Proportional to 5,045.66, 7,568.54 and 1,758.77

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Solution

The fourth proportional to 5,045.66, 7,568.54 and 1,758.77 is: 2,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.66 : 7,568.54 = 1,758.77 : x
  2. Step 2: Convert to fraction form
    5,045.66/7,568.54 = 1,758.77/x
  3. Step 3: Cross multiply
    5,045.66x = 7,568.54 × 1,758.77
  4. Step 4: Simplify right side
    5,045.66x = 13,311,321.10
  5. Step 5: Solve for x
    x = 13,311,321.10/5,045.66
  6. Step 6: Final answer
    x = 2,638.17

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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.