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Finding the Fourth Proportional to 4,486.16, 6,730.32 and 1,564.58

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Solution

The fourth proportional to 4,486.16, 6,730.32 and 1,564.58 is: 2,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.16 : 6,730.32 = 1,564.58 : x
  2. Step 2: Convert to fraction form
    4,486.16/6,730.32 = 1,564.58/x
  3. Step 3: Cross multiply
    4,486.16x = 6,730.32 × 1,564.58
  4. Step 4: Simplify right side
    4,486.16x = 10,530,124.07
  5. Step 5: Solve for x
    x = 10,530,124.07/4,486.16
  6. Step 6: Final answer
    x = 2,347.25

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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.