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Finding the Fourth Proportional to 5,258.66, 7,888.05 and 1,560.80

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Solution

The fourth proportional to 5,258.66, 7,888.05 and 1,560.80 is: 2,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.66 : 7,888.05 = 1,560.80 : x
  2. Step 2: Convert to fraction form
    5,258.66/7,888.05 = 1,560.80/x
  3. Step 3: Cross multiply
    5,258.66x = 7,888.05 × 1,560.80
  4. Step 4: Simplify right side
    5,258.66x = 12,311,629.00
  5. Step 5: Solve for x
    x = 12,311,629.00/5,258.66
  6. Step 6: Final answer
    x = 2,341.21

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1.5x scale

Why These Related Problems?

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