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Finding the Fourth Proportional to 4,907.70, 7,345.12 and 4,842.08

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Solution

The fourth proportional to 4,907.70, 7,345.12 and 4,842.08 is: 7,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.70 : 7,345.12 = 4,842.08 : x
  2. Step 2: Convert to fraction form
    4,907.70/7,345.12 = 4,842.08/x
  3. Step 3: Cross multiply
    4,907.70x = 7,345.12 × 4,842.08
  4. Step 4: Simplify right side
    4,907.70x = 35,565,658.65
  5. Step 5: Solve for x
    x = 35,565,658.65/4,907.70
  6. Step 6: Final answer
    x = 7,246.91

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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.