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Finding the Fourth Proportional to 3,714.48, 5,123.16 and 3,487.68

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Solution

The fourth proportional to 3,714.48, 5,123.16 and 3,487.68 is: 4,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.48 : 5,123.16 = 3,487.68 : x
  2. Step 2: Convert to fraction form
    3,714.48/5,123.16 = 3,487.68/x
  3. Step 3: Cross multiply
    3,714.48x = 5,123.16 × 3,487.68
  4. Step 4: Simplify right side
    3,714.48x = 17,867,942.67
  5. Step 5: Solve for x
    x = 17,867,942.67/3,714.48
  6. Step 6: Final answer
    x = 4,810.35

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1.5x scale

Why These Related Problems?

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