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Finding the Fourth Proportional to 4,338.47, 6,503.71 and 1,564.46

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Solution

The fourth proportional to 4,338.47, 6,503.71 and 1,564.46 is: 2,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.47 : 6,503.71 = 1,564.46 : x
  2. Step 2: Convert to fraction form
    4,338.47/6,503.71 = 1,564.46/x
  3. Step 3: Cross multiply
    4,338.47x = 6,503.71 × 1,564.46
  4. Step 4: Simplify right side
    4,338.47x = 10,174,786.32
  5. Step 5: Solve for x
    x = 10,174,786.32/4,338.47
  6. Step 6: Final answer
    x = 2,345.25

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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.