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Finding the Fourth Proportional to 5,258.95, 7,887.07 and 1,560.30

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Solution

The fourth proportional to 5,258.95, 7,887.07 and 1,560.30 is: 2,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.95 : 7,887.07 = 1,560.30 : x
  2. Step 2: Convert to fraction form
    5,258.95/7,887.07 = 1,560.30/x
  3. Step 3: Cross multiply
    5,258.95x = 7,887.07 × 1,560.30
  4. Step 4: Simplify right side
    5,258.95x = 12,306,212.06
  5. Step 5: Solve for x
    x = 12,306,212.06/5,258.95
  6. Step 6: Final answer
    x = 2,340.05

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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.