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Finding the Fourth Proportional to 4,565.54, 6,847.40 and 1,445.02

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Solution

The fourth proportional to 4,565.54, 6,847.40 and 1,445.02 is: 2,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.54 : 6,847.40 = 1,445.02 : x
  2. Step 2: Convert to fraction form
    4,565.54/6,847.40 = 1,445.02/x
  3. Step 3: Cross multiply
    4,565.54x = 6,847.40 × 1,445.02
  4. Step 4: Simplify right side
    4,565.54x = 9,894,616.44
  5. Step 5: Solve for x
    x = 9,894,616.44/4,565.54
  6. Step 6: Final answer
    x = 2,167.24

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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.