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Finding the Fourth Proportional to 4,689.54, 6,460.29 and 4,352.58

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Solution

The fourth proportional to 4,689.54, 6,460.29 and 4,352.58 is: 5,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.54 : 6,460.29 = 4,352.58 : x
  2. Step 2: Convert to fraction form
    4,689.54/6,460.29 = 4,352.58/x
  3. Step 3: Cross multiply
    4,689.54x = 6,460.29 × 4,352.58
  4. Step 4: Simplify right side
    4,689.54x = 28,118,929.05
  5. Step 5: Solve for x
    x = 28,118,929.05/4,689.54
  6. Step 6: Final answer
    x = 5,996.10

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1.5x scale

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.