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Finding the Fourth Proportional to 5,641.76, 8,463.36 and 1,746.08

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Solution

The fourth proportional to 5,641.76, 8,463.36 and 1,746.08 is: 2,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.76 : 8,463.36 = 1,746.08 : x
  2. Step 2: Convert to fraction form
    5,641.76/8,463.36 = 1,746.08/x
  3. Step 3: Cross multiply
    5,641.76x = 8,463.36 × 1,746.08
  4. Step 4: Simplify right side
    5,641.76x = 14,777,703.63
  5. Step 5: Solve for x
    x = 14,777,703.63/5,641.76
  6. Step 6: Final answer
    x = 2,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.