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Finding the Fourth Proportional to 4,897.05, 7,346.14 and 1,778.52

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Solution

The fourth proportional to 4,897.05, 7,346.14 and 1,778.52 is: 2,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.05 : 7,346.14 = 1,778.52 : x
  2. Step 2: Convert to fraction form
    4,897.05/7,346.14 = 1,778.52/x
  3. Step 3: Cross multiply
    4,897.05x = 7,346.14 × 1,778.52
  4. Step 4: Simplify right side
    4,897.05x = 13,065,256.91
  5. Step 5: Solve for x
    x = 13,065,256.91/4,897.05
  6. Step 6: Final answer
    x = 2,667.99

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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.