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Finding the Fourth Proportional to 5,071.04, 7,607.02 and 1,952.44

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Solution

The fourth proportional to 5,071.04, 7,607.02 and 1,952.44 is: 2,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.04 : 7,607.02 = 1,952.44 : x
  2. Step 2: Convert to fraction form
    5,071.04/7,607.02 = 1,952.44/x
  3. Step 3: Cross multiply
    5,071.04x = 7,607.02 × 1,952.44
  4. Step 4: Simplify right side
    5,071.04x = 14,852,250.13
  5. Step 5: Solve for x
    x = 14,852,250.13/5,071.04
  6. Step 6: Final answer
    x = 2,928.84

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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.