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Finding the Fourth Proportional to 4,547.36, 6,271.08 and 4,207.97

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Solution

The fourth proportional to 4,547.36, 6,271.08 and 4,207.97 is: 5,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.36 : 6,271.08 = 4,207.97 : x
  2. Step 2: Convert to fraction form
    4,547.36/6,271.08 = 4,207.97/x
  3. Step 3: Cross multiply
    4,547.36x = 6,271.08 × 4,207.97
  4. Step 4: Simplify right side
    4,547.36x = 26,388,516.51
  5. Step 5: Solve for x
    x = 26,388,516.51/4,547.36
  6. Step 6: Final answer
    x = 5,803.04

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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.