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Finding the Fourth Proportional to 6,051.60, 8,348.40 and 3,812.40

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Solution

The fourth proportional to 6,051.60, 8,348.40 and 3,812.40 is: 5,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.60 : 8,348.40 = 3,812.40 : x
  2. Step 2: Convert to fraction form
    6,051.60/8,348.40 = 3,812.40/x
  3. Step 3: Cross multiply
    6,051.60x = 8,348.40 × 3,812.40
  4. Step 4: Simplify right side
    6,051.60x = 31,827,440.16
  5. Step 5: Solve for x
    x = 31,827,440.16/6,051.60
  6. Step 6: Final answer
    x = 5,259.34

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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.