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Finding the Fourth Proportional to 4,430.84, 6,114.28 and 2,441.28

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Solution

The fourth proportional to 4,430.84, 6,114.28 and 2,441.28 is: 3,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.84 : 6,114.28 = 2,441.28 : x
  2. Step 2: Convert to fraction form
    4,430.84/6,114.28 = 2,441.28/x
  3. Step 3: Cross multiply
    4,430.84x = 6,114.28 × 2,441.28
  4. Step 4: Simplify right side
    4,430.84x = 14,926,663.38
  5. Step 5: Solve for x
    x = 14,926,663.38/4,430.84
  6. Step 6: Final answer
    x = 3,368.81

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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.