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Finding the Fourth Proportional to 5,290.74, 7,897.48 and 4,905.29

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Solution

The fourth proportional to 5,290.74, 7,897.48 and 4,905.29 is: 7,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.74 : 7,897.48 = 4,905.29 : x
  2. Step 2: Convert to fraction form
    5,290.74/7,897.48 = 4,905.29/x
  3. Step 3: Cross multiply
    5,290.74x = 7,897.48 × 4,905.29
  4. Step 4: Simplify right side
    5,290.74x = 38,739,437.15
  5. Step 5: Solve for x
    x = 38,739,437.15/5,290.74
  6. Step 6: Final answer
    x = 7,322.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.