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Finding the Fourth Proportional to 4,175.48, 5,762.15 and 2,407.07

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Solution

The fourth proportional to 4,175.48, 5,762.15 and 2,407.07 is: 3,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.48 : 5,762.15 = 2,407.07 : x
  2. Step 2: Convert to fraction form
    4,175.48/5,762.15 = 2,407.07/x
  3. Step 3: Cross multiply
    4,175.48x = 5,762.15 × 2,407.07
  4. Step 4: Simplify right side
    4,175.48x = 13,869,898.40
  5. Step 5: Solve for x
    x = 13,869,898.40/4,175.48
  6. Step 6: Final answer
    x = 3,321.75

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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.