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Finding the Fourth Proportional to 4,292.35, 6,438.12 and 1,370.68

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Solution

The fourth proportional to 4,292.35, 6,438.12 and 1,370.68 is: 2,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.35 : 6,438.12 = 1,370.68 : x
  2. Step 2: Convert to fraction form
    4,292.35/6,438.12 = 1,370.68/x
  3. Step 3: Cross multiply
    4,292.35x = 6,438.12 × 1,370.68
  4. Step 4: Simplify right side
    4,292.35x = 8,824,602.32
  5. Step 5: Solve for x
    x = 8,824,602.32/4,292.35
  6. Step 6: Final answer
    x = 2,055.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.