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Finding the Fourth Proportional to 4,603.68, 6,905.52 and 2,564.64

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Solution

The fourth proportional to 4,603.68, 6,905.52 and 2,564.64 is: 3,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.68 : 6,905.52 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    4,603.68/6,905.52 = 2,564.64/x
  3. Step 3: Cross multiply
    4,603.68x = 6,905.52 × 2,564.64
  4. Step 4: Simplify right side
    4,603.68x = 17,710,172.81
  5. Step 5: Solve for x
    x = 17,710,172.81/4,603.68
  6. Step 6: Final answer
    x = 3,846.96

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Why These Related Problems?

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