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Finding the Fourth Proportional to 6,452.50, 8,904.46 and 3,658

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Solution

The fourth proportional to 6,452.50, 8,904.46 and 3,658 is: 5,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.50 : 8,904.46 = 3,658 : x
  2. Step 2: Convert to fraction form
    6,452.50/8,904.46 = 3,658/x
  3. Step 3: Cross multiply
    6,452.50x = 8,904.46 × 3,658
  4. Step 4: Simplify right side
    6,452.50x = 32,572,514.68
  5. Step 5: Solve for x
    x = 32,572,514.68/6,452.50
  6. Step 6: Final answer
    x = 5,048.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.