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Finding the Fourth Proportional to 3,501.56, 4,830.62 and 2,506.47

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Solution

The fourth proportional to 3,501.56, 4,830.62 and 2,506.47 is: 3,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.56 : 4,830.62 = 2,506.47 : x
  2. Step 2: Convert to fraction form
    3,501.56/4,830.62 = 2,506.47/x
  3. Step 3: Cross multiply
    3,501.56x = 4,830.62 × 2,506.47
  4. Step 4: Simplify right side
    3,501.56x = 12,107,791.58
  5. Step 5: Solve for x
    x = 12,107,791.58/3,501.56
  6. Step 6: Final answer
    x = 3,457.83

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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.