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Finding the Fourth Proportional to 3,497.80, 4,829.88 and 3,124.12

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Solution

The fourth proportional to 3,497.80, 4,829.88 and 3,124.12 is: 4,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.80 : 4,829.88 = 3,124.12 : x
  2. Step 2: Convert to fraction form
    3,497.80/4,829.88 = 3,124.12/x
  3. Step 3: Cross multiply
    3,497.80x = 4,829.88 × 3,124.12
  4. Step 4: Simplify right side
    3,497.80x = 15,089,124.71
  5. Step 5: Solve for x
    x = 15,089,124.71/3,497.80
  6. Step 6: Final answer
    x = 4,313.89

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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.