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Finding the Fourth Proportional to 5,352.67, 8,029.01 and 1,457.08

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Solution

The fourth proportional to 5,352.67, 8,029.01 and 1,457.08 is: 2,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.67 : 8,029.01 = 1,457.08 : x
  2. Step 2: Convert to fraction form
    5,352.67/8,029.01 = 1,457.08/x
  3. Step 3: Cross multiply
    5,352.67x = 8,029.01 × 1,457.08
  4. Step 4: Simplify right side
    5,352.67x = 11,698,909.89
  5. Step 5: Solve for x
    x = 11,698,909.89/5,352.67
  6. Step 6: Final answer
    x = 2,185.62

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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.