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Finding the Fourth Proportional to 5,547.66, 7,662.51 and 4,384.14

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Solution

The fourth proportional to 5,547.66, 7,662.51 and 4,384.14 is: 6,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.66 : 7,662.51 = 4,384.14 : x
  2. Step 2: Convert to fraction form
    5,547.66/7,662.51 = 4,384.14/x
  3. Step 3: Cross multiply
    5,547.66x = 7,662.51 × 4,384.14
  4. Step 4: Simplify right side
    5,547.66x = 33,593,516.59
  5. Step 5: Solve for x
    x = 33,593,516.59/5,547.66
  6. Step 6: Final answer
    x = 6,055.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.