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Finding the Fourth Proportional to 4,697.40, 7,051.23 and 3,460.98

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Solution

The fourth proportional to 4,697.40, 7,051.23 and 3,460.98 is: 5,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.40 : 7,051.23 = 3,460.98 : x
  2. Step 2: Convert to fraction form
    4,697.40/7,051.23 = 3,460.98/x
  3. Step 3: Cross multiply
    4,697.40x = 7,051.23 × 3,460.98
  4. Step 4: Simplify right side
    4,697.40x = 24,404,166.01
  5. Step 5: Solve for x
    x = 24,404,166.01/4,697.40
  6. Step 6: Final answer
    x = 5,195.25

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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.