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Finding the Fourth Proportional to 5,257.84, 7,886.72 and 1,560.08

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Solution

The fourth proportional to 5,257.84, 7,886.72 and 1,560.08 is: 2,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.84 : 7,886.72 = 1,560.08 : x
  2. Step 2: Convert to fraction form
    5,257.84/7,886.72 = 1,560.08/x
  3. Step 3: Cross multiply
    5,257.84x = 7,886.72 × 1,560.08
  4. Step 4: Simplify right side
    5,257.84x = 12,303,914.14
  5. Step 5: Solve for x
    x = 12,303,914.14/5,257.84
  6. Step 6: Final answer
    x = 2,340.11

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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.