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Finding the Fourth Proportional to 3,123.18, 4,714.16 and 3,123.18

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Solution

The fourth proportional to 3,123.18, 4,714.16 and 3,123.18 is: 4,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.18 : 4,714.16 = 3,123.18 : x
  2. Step 2: Convert to fraction form
    3,123.18/4,714.16 = 3,123.18/x
  3. Step 3: Cross multiply
    3,123.18x = 4,714.16 × 3,123.18
  4. Step 4: Simplify right side
    3,123.18x = 14,723,154.61
  5. Step 5: Solve for x
    x = 14,723,154.61/3,123.18
  6. Step 6: Final answer
    x = 4,714.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.