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Finding the Fourth Proportional to 4,590.60, 6,885.90 and 4,091.40

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Solution

The fourth proportional to 4,590.60, 6,885.90 and 4,091.40 is: 6,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.60 : 6,885.90 = 4,091.40 : x
  2. Step 2: Convert to fraction form
    4,590.60/6,885.90 = 4,091.40/x
  3. Step 3: Cross multiply
    4,590.60x = 6,885.90 × 4,091.40
  4. Step 4: Simplify right side
    4,590.60x = 28,172,971.26
  5. Step 5: Solve for x
    x = 28,172,971.26/4,590.60
  6. Step 6: Final answer
    x = 6,137.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.