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Finding the Fourth Proportional to 4,704.06, 7,036.47 and 4,354.14

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Solution

The fourth proportional to 4,704.06, 7,036.47 and 4,354.14 is: 6,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.06 : 7,036.47 = 4,354.14 : x
  2. Step 2: Convert to fraction form
    4,704.06/7,036.47 = 4,354.14/x
  3. Step 3: Cross multiply
    4,704.06x = 7,036.47 × 4,354.14
  4. Step 4: Simplify right side
    4,704.06x = 30,637,775.49
  5. Step 5: Solve for x
    x = 30,637,775.49/4,704.06
  6. Step 6: Final answer
    x = 6,513.05

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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.