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Finding the Fourth Proportional to 4,714.62, 6,504.36 and 3,594.40

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Solution

The fourth proportional to 4,714.62, 6,504.36 and 3,594.40 is: 4,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.62 : 6,504.36 = 3,594.40 : x
  2. Step 2: Convert to fraction form
    4,714.62/6,504.36 = 3,594.40/x
  3. Step 3: Cross multiply
    4,714.62x = 6,504.36 × 3,594.40
  4. Step 4: Simplify right side
    4,714.62x = 23,379,271.58
  5. Step 5: Solve for x
    x = 23,379,271.58/4,714.62
  6. Step 6: Final answer
    x = 4,958.89

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