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Finding the Fourth Proportional to 3,412.30, 4,783.70 and 3,412.30

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Solution

The fourth proportional to 3,412.30, 4,783.70 and 3,412.30 is: 4,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.30 : 4,783.70 = 3,412.30 : x
  2. Step 2: Convert to fraction form
    3,412.30/4,783.70 = 3,412.30/x
  3. Step 3: Cross multiply
    3,412.30x = 4,783.70 × 3,412.30
  4. Step 4: Simplify right side
    3,412.30x = 16,323,419.51
  5. Step 5: Solve for x
    x = 16,323,419.51/3,412.30
  6. Step 6: Final answer
    x = 4,783.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.