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Finding the Fourth Proportional to 4,665.84, 6,437.76 and 2,778

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Solution

The fourth proportional to 4,665.84, 6,437.76 and 2,778 is: 3,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.84 : 6,437.76 = 2,778 : x
  2. Step 2: Convert to fraction form
    4,665.84/6,437.76 = 2,778/x
  3. Step 3: Cross multiply
    4,665.84x = 6,437.76 × 2,778
  4. Step 4: Simplify right side
    4,665.84x = 17,884,097.28
  5. Step 5: Solve for x
    x = 17,884,097.28/4,665.84
  6. Step 6: Final answer
    x = 3,832.99

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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.