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Finding the Fourth Proportional to 5,290.40, 7,297.53 and 3,497.87

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Solution

The fourth proportional to 5,290.40, 7,297.53 and 3,497.87 is: 4,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.40 : 7,297.53 = 3,497.87 : x
  2. Step 2: Convert to fraction form
    5,290.40/7,297.53 = 3,497.87/x
  3. Step 3: Cross multiply
    5,290.40x = 7,297.53 × 3,497.87
  4. Step 4: Simplify right side
    5,290.40x = 25,525,774.77
  5. Step 5: Solve for x
    x = 25,525,774.77/5,290.40
  6. Step 6: Final answer
    x = 4,824.93

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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.