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Finding the Fourth Proportional to 3,699.67, 5,547.67 and 1,359.58

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Solution

The fourth proportional to 3,699.67, 5,547.67 and 1,359.58 is: 2,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.67 : 5,547.67 = 1,359.58 : x
  2. Step 2: Convert to fraction form
    3,699.67/5,547.67 = 1,359.58/x
  3. Step 3: Cross multiply
    3,699.67x = 5,547.67 × 1,359.58
  4. Step 4: Simplify right side
    3,699.67x = 7,542,501.18
  5. Step 5: Solve for x
    x = 7,542,501.18/3,699.67
  6. Step 6: Final answer
    x = 2,038.70

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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.