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Finding the Fourth Proportional to 5,339.60, 8,010.10 and 1,642.08

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Solution

The fourth proportional to 5,339.60, 8,010.10 and 1,642.08 is: 2,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.60 : 8,010.10 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    5,339.60/8,010.10 = 1,642.08/x
  3. Step 3: Cross multiply
    5,339.60x = 8,010.10 × 1,642.08
  4. Step 4: Simplify right side
    5,339.60x = 13,153,225.01
  5. Step 5: Solve for x
    x = 13,153,225.01/5,339.60
  6. Step 6: Final answer
    x = 2,463.34

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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.