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Finding the Fourth Proportional to 3,670.84, 5,495.19 and 2,369.53

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Solution

The fourth proportional to 3,670.84, 5,495.19 and 2,369.53 is: 3,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.84 : 5,495.19 = 2,369.53 : x
  2. Step 2: Convert to fraction form
    3,670.84/5,495.19 = 2,369.53/x
  3. Step 3: Cross multiply
    3,670.84x = 5,495.19 × 2,369.53
  4. Step 4: Simplify right side
    3,670.84x = 13,021,017.56
  5. Step 5: Solve for x
    x = 13,021,017.56/3,670.84
  6. Step 6: Final answer
    x = 3,547.15

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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.