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Finding the Fourth Proportional to 3,887.55, 5,830.53 and 1,113.48

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Solution

The fourth proportional to 3,887.55, 5,830.53 and 1,113.48 is: 1,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.55 : 5,830.53 = 1,113.48 : x
  2. Step 2: Convert to fraction form
    3,887.55/5,830.53 = 1,113.48/x
  3. Step 3: Cross multiply
    3,887.55x = 5,830.53 × 1,113.48
  4. Step 4: Simplify right side
    3,887.55x = 6,492,178.54
  5. Step 5: Solve for x
    x = 6,492,178.54/3,887.55
  6. Step 6: Final answer
    x = 1,669.99

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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.