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Finding the Fourth Proportional to 5,262.46, 7,262.59 and 5,098.87

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Solution

The fourth proportional to 5,262.46, 7,262.59 and 5,098.87 is: 7,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.46 : 7,262.59 = 5,098.87 : x
  2. Step 2: Convert to fraction form
    5,262.46/7,262.59 = 5,098.87/x
  3. Step 3: Cross multiply
    5,262.46x = 7,262.59 × 5,098.87
  4. Step 4: Simplify right side
    5,262.46x = 37,030,971.37
  5. Step 5: Solve for x
    x = 37,030,971.37/5,262.46
  6. Step 6: Final answer
    x = 7,036.82

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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.