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Finding the Fourth Proportional to 4,897.40, 7,346.06 and 1,199.64

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Solution

The fourth proportional to 4,897.40, 7,346.06 and 1,199.64 is: 1,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.40 : 7,346.06 = 1,199.64 : x
  2. Step 2: Convert to fraction form
    4,897.40/7,346.06 = 1,199.64/x
  3. Step 3: Cross multiply
    4,897.40x = 7,346.06 × 1,199.64
  4. Step 4: Simplify right side
    4,897.40x = 8,812,627.42
  5. Step 5: Solve for x
    x = 8,812,627.42/4,897.40
  6. Step 6: Final answer
    x = 1,799.45

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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.