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Finding the Fourth Proportional to 4,590.10, 6,885.15 and 4,090.90

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Solution

The fourth proportional to 4,590.10, 6,885.15 and 4,090.90 is: 6,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.10 : 6,885.15 = 4,090.90 : x
  2. Step 2: Convert to fraction form
    4,590.10/6,885.15 = 4,090.90/x
  3. Step 3: Cross multiply
    4,590.10x = 6,885.15 × 4,090.90
  4. Step 4: Simplify right side
    4,590.10x = 28,166,460.14
  5. Step 5: Solve for x
    x = 28,166,460.14/4,590.10
  6. Step 6: Final answer
    x = 6,136.35

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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.