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Finding the Fourth Proportional to 5,061.60, 6,985.12 and 3,071.84

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Solution

The fourth proportional to 5,061.60, 6,985.12 and 3,071.84 is: 4,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.60 : 6,985.12 = 3,071.84 : x
  2. Step 2: Convert to fraction form
    5,061.60/6,985.12 = 3,071.84/x
  3. Step 3: Cross multiply
    5,061.60x = 6,985.12 × 3,071.84
  4. Step 4: Simplify right side
    5,061.60x = 21,457,171.02
  5. Step 5: Solve for x
    x = 21,457,171.02/5,061.60
  6. Step 6: Final answer
    x = 4,239.21

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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.