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Finding the Fourth Proportional to 4,596.54, 6,341.32 and 2,802.57

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Solution

The fourth proportional to 4,596.54, 6,341.32 and 2,802.57 is: 3,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.54 : 6,341.32 = 2,802.57 : x
  2. Step 2: Convert to fraction form
    4,596.54/6,341.32 = 2,802.57/x
  3. Step 3: Cross multiply
    4,596.54x = 6,341.32 × 2,802.57
  4. Step 4: Simplify right side
    4,596.54x = 17,771,993.19
  5. Step 5: Solve for x
    x = 17,771,993.19/4,596.54
  6. Step 6: Final answer
    x = 3,866.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.