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Finding the Fourth Proportional to 4,642.92, 6,393.06 and 4,271.40

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Solution

The fourth proportional to 4,642.92, 6,393.06 and 4,271.40 is: 5,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.92 : 6,393.06 = 4,271.40 : x
  2. Step 2: Convert to fraction form
    4,642.92/6,393.06 = 4,271.40/x
  3. Step 3: Cross multiply
    4,642.92x = 6,393.06 × 4,271.40
  4. Step 4: Simplify right side
    4,642.92x = 27,307,316.48
  5. Step 5: Solve for x
    x = 27,307,316.48/4,642.92
  6. Step 6: Final answer
    x = 5,881.50

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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.