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Finding the Fourth Proportional to 4,460.96, 6,143.58 and 4,364.07

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Solution

The fourth proportional to 4,460.96, 6,143.58 and 4,364.07 is: 6,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.96 : 6,143.58 = 4,364.07 : x
  2. Step 2: Convert to fraction form
    4,460.96/6,143.58 = 4,364.07/x
  3. Step 3: Cross multiply
    4,460.96x = 6,143.58 × 4,364.07
  4. Step 4: Simplify right side
    4,460.96x = 26,811,013.17
  5. Step 5: Solve for x
    x = 26,811,013.17/4,460.96
  6. Step 6: Final answer
    x = 6,010.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.