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Finding the Fourth Proportional to 3,125.40, 4,714.17 and 3,125.40

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Solution

The fourth proportional to 3,125.40, 4,714.17 and 3,125.40 is: 4,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.40 : 4,714.17 = 3,125.40 : x
  2. Step 2: Convert to fraction form
    3,125.40/4,714.17 = 3,125.40/x
  3. Step 3: Cross multiply
    3,125.40x = 4,714.17 × 3,125.40
  4. Step 4: Simplify right side
    3,125.40x = 14,733,666.92
  5. Step 5: Solve for x
    x = 14,733,666.92/3,125.40
  6. Step 6: Final answer
    x = 4,714.17

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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.