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Finding the Fourth Proportional to 3,564.53, 5,347.47 and 1,483.40

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Solution

The fourth proportional to 3,564.53, 5,347.47 and 1,483.40 is: 2,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.53 : 5,347.47 = 1,483.40 : x
  2. Step 2: Convert to fraction form
    3,564.53/5,347.47 = 1,483.40/x
  3. Step 3: Cross multiply
    3,564.53x = 5,347.47 × 1,483.40
  4. Step 4: Simplify right side
    3,564.53x = 7,932,437.00
  5. Step 5: Solve for x
    x = 7,932,437.00/3,564.53
  6. Step 6: Final answer
    x = 2,225.38

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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.