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Finding the Fourth Proportional to 3,564.63, 4,907.10 and 3,064.35

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Solution

The fourth proportional to 3,564.63, 4,907.10 and 3,064.35 is: 4,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.63 : 4,907.10 = 3,064.35 : x
  2. Step 2: Convert to fraction form
    3,564.63/4,907.10 = 3,064.35/x
  3. Step 3: Cross multiply
    3,564.63x = 4,907.10 × 3,064.35
  4. Step 4: Simplify right side
    3,564.63x = 15,037,071.89
  5. Step 5: Solve for x
    x = 15,037,071.89/3,564.63
  6. Step 6: Final answer
    x = 4,218.41

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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.