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Finding the Fourth Proportional to 5,258.35, 7,889.18 and 1,560.60

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Solution

The fourth proportional to 5,258.35, 7,889.18 and 1,560.60 is: 2,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.35 : 7,889.18 = 1,560.60 : x
  2. Step 2: Convert to fraction form
    5,258.35/7,889.18 = 1,560.60/x
  3. Step 3: Cross multiply
    5,258.35x = 7,889.18 × 1,560.60
  4. Step 4: Simplify right side
    5,258.35x = 12,311,854.31
  5. Step 5: Solve for x
    x = 12,311,854.31/5,258.35
  6. Step 6: Final answer
    x = 2,341.39

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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.