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Finding the Fourth Proportional to 4,925.34, 7,390.17 and 1,638.90

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Solution

The fourth proportional to 4,925.34, 7,390.17 and 1,638.90 is: 2,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.34 : 7,390.17 = 1,638.90 : x
  2. Step 2: Convert to fraction form
    4,925.34/7,390.17 = 1,638.90/x
  3. Step 3: Cross multiply
    4,925.34x = 7,390.17 × 1,638.90
  4. Step 4: Simplify right side
    4,925.34x = 12,111,749.61
  5. Step 5: Solve for x
    x = 12,111,749.61/4,925.34
  6. Step 6: Final answer
    x = 2,459.07

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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.