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Finding the Fourth Proportional to 5,848.36, 8,762.64 and 3,535

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Solution

The fourth proportional to 5,848.36, 8,762.64 and 3,535 is: 5,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.36 : 8,762.64 = 3,535 : x
  2. Step 2: Convert to fraction form
    5,848.36/8,762.64 = 3,535/x
  3. Step 3: Cross multiply
    5,848.36x = 8,762.64 × 3,535
  4. Step 4: Simplify right side
    5,848.36x = 30,975,932.40
  5. Step 5: Solve for x
    x = 30,975,932.40/5,848.36
  6. Step 6: Final answer
    x = 5,296.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.