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Finding the Fourth Proportional to 5,670.42, 7,829 and 5,071.05

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Solution

The fourth proportional to 5,670.42, 7,829 and 5,071.05 is: 7,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.42 : 7,829 = 5,071.05 : x
  2. Step 2: Convert to fraction form
    5,670.42/7,829 = 5,071.05/x
  3. Step 3: Cross multiply
    5,670.42x = 7,829 × 5,071.05
  4. Step 4: Simplify right side
    5,670.42x = 39,701,250.45
  5. Step 5: Solve for x
    x = 39,701,250.45/5,670.42
  6. Step 6: Final answer
    x = 7,001.47

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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.