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Finding the Fourth Proportional to 4,691.36, 7,038.66 and 4,107.08

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Solution

The fourth proportional to 4,691.36, 7,038.66 and 4,107.08 is: 6,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.36 : 7,038.66 = 4,107.08 : x
  2. Step 2: Convert to fraction form
    4,691.36/7,038.66 = 4,107.08/x
  3. Step 3: Cross multiply
    4,691.36x = 7,038.66 × 4,107.08
  4. Step 4: Simplify right side
    4,691.36x = 28,908,339.71
  5. Step 5: Solve for x
    x = 28,908,339.71/4,691.36
  6. Step 6: Final answer
    x = 6,162.04

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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.