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Finding the Fourth Proportional to 3,495.60, 4,822.20 and 2,977.20

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Solution

The fourth proportional to 3,495.60, 4,822.20 and 2,977.20 is: 4,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.60 : 4,822.20 = 2,977.20 : x
  2. Step 2: Convert to fraction form
    3,495.60/4,822.20 = 2,977.20/x
  3. Step 3: Cross multiply
    3,495.60x = 4,822.20 × 2,977.20
  4. Step 4: Simplify right side
    3,495.60x = 14,356,653.84
  5. Step 5: Solve for x
    x = 14,356,653.84/3,495.60
  6. Step 6: Final answer
    x = 4,107.06

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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.