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Finding the Fourth Proportional to 5,045.86, 6,948.82 and 5,029.46

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Solution

The fourth proportional to 5,045.86, 6,948.82 and 5,029.46 is: 6,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.86 : 6,948.82 = 5,029.46 : x
  2. Step 2: Convert to fraction form
    5,045.86/6,948.82 = 5,029.46/x
  3. Step 3: Cross multiply
    5,045.86x = 6,948.82 × 5,029.46
  4. Step 4: Simplify right side
    5,045.86x = 34,948,809.84
  5. Step 5: Solve for x
    x = 34,948,809.84/5,045.86
  6. Step 6: Final answer
    x = 6,926.23

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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.