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Finding the Fourth Proportional to 3,696.08, 5,547 and 1,506.32

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Solution

The fourth proportional to 3,696.08, 5,547 and 1,506.32 is: 2,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.08 : 5,547 = 1,506.32 : x
  2. Step 2: Convert to fraction form
    3,696.08/5,547 = 1,506.32/x
  3. Step 3: Cross multiply
    3,696.08x = 5,547 × 1,506.32
  4. Step 4: Simplify right side
    3,696.08x = 8,355,557.04
  5. Step 5: Solve for x
    x = 8,355,557.04/3,696.08
  6. Step 6: Final answer
    x = 2,260.65

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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.