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Finding the Fourth Proportional to 4,932.60, 7,390.80 and 4,106.40

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Solution

The fourth proportional to 4,932.60, 7,390.80 and 4,106.40 is: 6,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.60 : 7,390.80 = 4,106.40 : x
  2. Step 2: Convert to fraction form
    4,932.60/7,390.80 = 4,106.40/x
  3. Step 3: Cross multiply
    4,932.60x = 7,390.80 × 4,106.40
  4. Step 4: Simplify right side
    4,932.60x = 30,349,581.12
  5. Step 5: Solve for x
    x = 30,349,581.12/4,932.60
  6. Step 6: Final answer
    x = 6,152.86

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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.