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Finding the Fourth Proportional to 3,808.96, 5,710.98 and 2,506.48

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Solution

The fourth proportional to 3,808.96, 5,710.98 and 2,506.48 is: 3,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.96 : 5,710.98 = 2,506.48 : x
  2. Step 2: Convert to fraction form
    3,808.96/5,710.98 = 2,506.48/x
  3. Step 3: Cross multiply
    3,808.96x = 5,710.98 × 2,506.48
  4. Step 4: Simplify right side
    3,808.96x = 14,314,457.15
  5. Step 5: Solve for x
    x = 14,314,457.15/3,808.96
  6. Step 6: Final answer
    x = 3,758.10

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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.