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Finding the Fourth Proportional to 5,746.48, 8,619.80 and 1,642.48

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Solution

The fourth proportional to 5,746.48, 8,619.80 and 1,642.48 is: 2,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.48 : 8,619.80 = 1,642.48 : x
  2. Step 2: Convert to fraction form
    5,746.48/8,619.80 = 1,642.48/x
  3. Step 3: Cross multiply
    5,746.48x = 8,619.80 × 1,642.48
  4. Step 4: Simplify right side
    5,746.48x = 14,157,849.10
  5. Step 5: Solve for x
    x = 14,157,849.10/5,746.48
  6. Step 6: Final answer
    x = 2,463.74

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1.5x scale

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.