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Finding the Fourth Proportional to 4,565.30, 6,848.19 and 1,445.64

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Solution

The fourth proportional to 4,565.30, 6,848.19 and 1,445.64 is: 2,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.30 : 6,848.19 = 1,445.64 : x
  2. Step 2: Convert to fraction form
    4,565.30/6,848.19 = 1,445.64/x
  3. Step 3: Cross multiply
    4,565.30x = 6,848.19 × 1,445.64
  4. Step 4: Simplify right side
    4,565.30x = 9,899,991.71
  5. Step 5: Solve for x
    x = 9,899,991.71/4,565.30
  6. Step 6: Final answer
    x = 2,168.53

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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.