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Finding the Fourth Proportional to 3,712.70, 5,547.22 and 3,583.50

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Solution

The fourth proportional to 3,712.70, 5,547.22 and 3,583.50 is: 5,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.70 : 5,547.22 = 3,583.50 : x
  2. Step 2: Convert to fraction form
    3,712.70/5,547.22 = 3,583.50/x
  3. Step 3: Cross multiply
    3,712.70x = 5,547.22 × 3,583.50
  4. Step 4: Simplify right side
    3,712.70x = 19,878,462.87
  5. Step 5: Solve for x
    x = 19,878,462.87/3,712.70
  6. Step 6: Final answer
    x = 5,354.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.