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Finding the Fourth Proportional to 4,174.58, 5,762.39 and 2,582.45

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Solution

The fourth proportional to 4,174.58, 5,762.39 and 2,582.45 is: 3,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.58 : 5,762.39 = 2,582.45 : x
  2. Step 2: Convert to fraction form
    4,174.58/5,762.39 = 2,582.45/x
  3. Step 3: Cross multiply
    4,174.58x = 5,762.39 × 2,582.45
  4. Step 4: Simplify right side
    4,174.58x = 14,881,084.06
  5. Step 5: Solve for x
    x = 14,881,084.06/4,174.58
  6. Step 6: Final answer
    x = 3,564.69

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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.