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Finding the Fourth Proportional to 5,506.64, 8,240.74 and 4,507.91

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Solution

The fourth proportional to 5,506.64, 8,240.74 and 4,507.91 is: 6,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.64 : 8,240.74 = 4,507.91 : x
  2. Step 2: Convert to fraction form
    5,506.64/8,240.74 = 4,507.91/x
  3. Step 3: Cross multiply
    5,506.64x = 8,240.74 × 4,507.91
  4. Step 4: Simplify right side
    5,506.64x = 37,148,514.25
  5. Step 5: Solve for x
    x = 37,148,514.25/5,506.64
  6. Step 6: Final answer
    x = 6,746.13

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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.