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Finding the Fourth Proportional to 3,457.48, 4,773 and 2,263.72

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Solution

The fourth proportional to 3,457.48, 4,773 and 2,263.72 is: 3,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.48 : 4,773 = 2,263.72 : x
  2. Step 2: Convert to fraction form
    3,457.48/4,773 = 2,263.72/x
  3. Step 3: Cross multiply
    3,457.48x = 4,773 × 2,263.72
  4. Step 4: Simplify right side
    3,457.48x = 10,804,735.56
  5. Step 5: Solve for x
    x = 10,804,735.56/3,457.48
  6. Step 6: Final answer
    x = 3,125.03

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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.