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Finding the Fourth Proportional to 4,176.84, 5,762.07 and 2,497.41

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Solution

The fourth proportional to 4,176.84, 5,762.07 and 2,497.41 is: 3,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.84 : 5,762.07 = 2,497.41 : x
  2. Step 2: Convert to fraction form
    4,176.84/5,762.07 = 2,497.41/x
  3. Step 3: Cross multiply
    4,176.84x = 5,762.07 × 2,497.41
  4. Step 4: Simplify right side
    4,176.84x = 14,390,251.24
  5. Step 5: Solve for x
    x = 14,390,251.24/4,176.84
  6. Step 6: Final answer
    x = 3,445.25

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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.