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Finding the Fourth Proportional to 5,124.64, 7,682.82 and 4,714.60

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Solution

The fourth proportional to 5,124.64, 7,682.82 and 4,714.60 is: 7,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.64 : 7,682.82 = 4,714.60 : x
  2. Step 2: Convert to fraction form
    5,124.64/7,682.82 = 4,714.60/x
  3. Step 3: Cross multiply
    5,124.64x = 7,682.82 × 4,714.60
  4. Step 4: Simplify right side
    5,124.64x = 36,221,423.17
  5. Step 5: Solve for x
    x = 36,221,423.17/5,124.64
  6. Step 6: Final answer
    x = 7,068.09

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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.