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Finding the Fourth Proportional to 5,547.48, 7,662.38 and 4,032.68

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Solution

The fourth proportional to 5,547.48, 7,662.38 and 4,032.68 is: 5,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.48 : 7,662.38 = 4,032.68 : x
  2. Step 2: Convert to fraction form
    5,547.48/7,662.38 = 4,032.68/x
  3. Step 3: Cross multiply
    5,547.48x = 7,662.38 × 4,032.68
  4. Step 4: Simplify right side
    5,547.48x = 30,899,868.10
  5. Step 5: Solve for x
    x = 30,899,868.10/5,547.48
  6. Step 6: Final answer
    x = 5,570.07

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Why These Related Problems?

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