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Finding the Fourth Proportional to 4,434.59, 6,666.47 and 4,113.83

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Solution

The fourth proportional to 4,434.59, 6,666.47 and 4,113.83 is: 6,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.59 : 6,666.47 = 4,113.83 : x
  2. Step 2: Convert to fraction form
    4,434.59/6,666.47 = 4,113.83/x
  3. Step 3: Cross multiply
    4,434.59x = 6,666.47 × 4,113.83
  4. Step 4: Simplify right side
    4,434.59x = 27,424,724.28
  5. Step 5: Solve for x
    x = 27,424,724.28/4,434.59
  6. Step 6: Final answer
    x = 6,184.28

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