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Finding the Fourth Proportional to 5,057.01, 7,585.46 and 2,590.46

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Solution

The fourth proportional to 5,057.01, 7,585.46 and 2,590.46 is: 3,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.01 : 7,585.46 = 2,590.46 : x
  2. Step 2: Convert to fraction form
    5,057.01/7,585.46 = 2,590.46/x
  3. Step 3: Cross multiply
    5,057.01x = 7,585.46 × 2,590.46
  4. Step 4: Simplify right side
    5,057.01x = 19,649,830.71
  5. Step 5: Solve for x
    x = 19,649,830.71/5,057.01
  6. Step 6: Final answer
    x = 3,885.66

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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.