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Finding the Fourth Proportional to 4,970.19, 6,856.02 and 4,271.26

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Solution

The fourth proportional to 4,970.19, 6,856.02 and 4,271.26 is: 5,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.19 : 6,856.02 = 4,271.26 : x
  2. Step 2: Convert to fraction form
    4,970.19/6,856.02 = 4,271.26/x
  3. Step 3: Cross multiply
    4,970.19x = 6,856.02 × 4,271.26
  4. Step 4: Simplify right side
    4,970.19x = 29,283,808.40
  5. Step 5: Solve for x
    x = 29,283,808.40/4,970.19
  6. Step 6: Final answer
    x = 5,891.89

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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.