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Finding the Fourth Proportional to 4,871.63, 6,701.60 and 4,271.42

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Solution

The fourth proportional to 4,871.63, 6,701.60 and 4,271.42 is: 5,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.63 : 6,701.60 = 4,271.42 : x
  2. Step 2: Convert to fraction form
    4,871.63/6,701.60 = 4,271.42/x
  3. Step 3: Cross multiply
    4,871.63x = 6,701.60 × 4,271.42
  4. Step 4: Simplify right side
    4,871.63x = 28,625,375.70
  5. Step 5: Solve for x
    x = 28,625,375.70/4,871.63
  6. Step 6: Final answer
    x = 5,875.93

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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.