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Finding the Fourth Proportional to 5,565.40, 8,340.90 and 4,946.20

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Solution

The fourth proportional to 5,565.40, 8,340.90 and 4,946.20 is: 7,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.40 : 8,340.90 = 4,946.20 : x
  2. Step 2: Convert to fraction form
    5,565.40/8,340.90 = 4,946.20/x
  3. Step 3: Cross multiply
    5,565.40x = 8,340.90 × 4,946.20
  4. Step 4: Simplify right side
    5,565.40x = 41,255,759.58
  5. Step 5: Solve for x
    x = 41,255,759.58/5,565.40
  6. Step 6: Final answer
    x = 7,412.90

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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.