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Finding the Fourth Proportional to 5,273, 7,908.70 and 1,985.32

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Solution

The fourth proportional to 5,273, 7,908.70 and 1,985.32 is: 2,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273 : 7,908.70 = 1,985.32 : x
  2. Step 2: Convert to fraction form
    5,273/7,908.70 = 1,985.32/x
  3. Step 3: Cross multiply
    5,273x = 7,908.70 × 1,985.32
  4. Step 4: Simplify right side
    5,273x = 15,701,300.28
  5. Step 5: Solve for x
    x = 15,701,300.28/5,273
  6. Step 6: Final answer
    x = 2,977.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.