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Finding the Fourth Proportional to 5,258.65, 7,889.21 and 1,560.91

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Solution

The fourth proportional to 5,258.65, 7,889.21 and 1,560.91 is: 2,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.65 : 7,889.21 = 1,560.91 : x
  2. Step 2: Convert to fraction form
    5,258.65/7,889.21 = 1,560.91/x
  3. Step 3: Cross multiply
    5,258.65x = 7,889.21 × 1,560.91
  4. Step 4: Simplify right side
    5,258.65x = 12,314,299.53
  5. Step 5: Solve for x
    x = 12,314,299.53/5,258.65
  6. Step 6: Final answer
    x = 2,341.72

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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.