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Finding the Fourth Proportional to 4,155.95, 5,735.95 and 2,477.46

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Solution

The fourth proportional to 4,155.95, 5,735.95 and 2,477.46 is: 3,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.95 : 5,735.95 = 2,477.46 : x
  2. Step 2: Convert to fraction form
    4,155.95/5,735.95 = 2,477.46/x
  3. Step 3: Cross multiply
    4,155.95x = 5,735.95 × 2,477.46
  4. Step 4: Simplify right side
    4,155.95x = 14,210,601.03
  5. Step 5: Solve for x
    x = 14,210,601.03/4,155.95
  6. Step 6: Final answer
    x = 3,419.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.