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Finding the Fourth Proportional to 3,699.83, 5,547.85 and 1,102.43

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Solution

The fourth proportional to 3,699.83, 5,547.85 and 1,102.43 is: 1,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.83 : 5,547.85 = 1,102.43 : x
  2. Step 2: Convert to fraction form
    3,699.83/5,547.85 = 1,102.43/x
  3. Step 3: Cross multiply
    3,699.83x = 5,547.85 × 1,102.43
  4. Step 4: Simplify right side
    3,699.83x = 6,116,085.78
  5. Step 5: Solve for x
    x = 6,116,085.78/3,699.83
  6. Step 6: Final answer
    x = 1,653.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.