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Finding the Fourth Proportional to 4,670.98, 6,443.14 and 3,674.68

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Solution

The fourth proportional to 4,670.98, 6,443.14 and 3,674.68 is: 5,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.98 : 6,443.14 = 3,674.68 : x
  2. Step 2: Convert to fraction form
    4,670.98/6,443.14 = 3,674.68/x
  3. Step 3: Cross multiply
    4,670.98x = 6,443.14 × 3,674.68
  4. Step 4: Simplify right side
    4,670.98x = 23,676,427.11
  5. Step 5: Solve for x
    x = 23,676,427.11/4,670.98
  6. Step 6: Final answer
    x = 5,068.84

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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.