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Finding the Fourth Proportional to 3,283.87, 4,928.10 and 2,970.16

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Solution

The fourth proportional to 3,283.87, 4,928.10 and 2,970.16 is: 4,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.87 : 4,928.10 = 2,970.16 : x
  2. Step 2: Convert to fraction form
    3,283.87/4,928.10 = 2,970.16/x
  3. Step 3: Cross multiply
    3,283.87x = 4,928.10 × 2,970.16
  4. Step 4: Simplify right side
    3,283.87x = 14,637,245.50
  5. Step 5: Solve for x
    x = 14,637,245.50/3,283.87
  6. Step 6: Final answer
    x = 4,457.32

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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.