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Finding the Fourth Proportional to 4,559.64, 6,842.34 and 2,615.64

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Solution

The fourth proportional to 4,559.64, 6,842.34 and 2,615.64 is: 3,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.64 : 6,842.34 = 2,615.64 : x
  2. Step 2: Convert to fraction form
    4,559.64/6,842.34 = 2,615.64/x
  3. Step 3: Cross multiply
    4,559.64x = 6,842.34 × 2,615.64
  4. Step 4: Simplify right side
    4,559.64x = 17,897,098.20
  5. Step 5: Solve for x
    x = 17,897,098.20/4,559.64
  6. Step 6: Final answer
    x = 3,925.11

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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.