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Finding the Fourth Proportional to 3,107.18, 4,658.94 and 1,547.12

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Solution

The fourth proportional to 3,107.18, 4,658.94 and 1,547.12 is: 2,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.18 : 4,658.94 = 1,547.12 : x
  2. Step 2: Convert to fraction form
    3,107.18/4,658.94 = 1,547.12/x
  3. Step 3: Cross multiply
    3,107.18x = 4,658.94 × 1,547.12
  4. Step 4: Simplify right side
    3,107.18x = 7,207,939.25
  5. Step 5: Solve for x
    x = 7,207,939.25/3,107.18
  6. Step 6: Final answer
    x = 2,319.77

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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.