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Finding the Fourth Proportional to 4,129.60, 6,194.35 and 1,009.64

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Solution

The fourth proportional to 4,129.60, 6,194.35 and 1,009.64 is: 1,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.60 : 6,194.35 = 1,009.64 : x
  2. Step 2: Convert to fraction form
    4,129.60/6,194.35 = 1,009.64/x
  3. Step 3: Cross multiply
    4,129.60x = 6,194.35 × 1,009.64
  4. Step 4: Simplify right side
    4,129.60x = 6,254,030.04
  5. Step 5: Solve for x
    x = 6,254,030.04/4,129.60
  6. Step 6: Final answer
    x = 1,514.44

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