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Finding the Fourth Proportional to 6,566.58, 9,062.08 and 3,582.59

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Solution

The fourth proportional to 6,566.58, 9,062.08 and 3,582.59 is: 4,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.58 : 9,062.08 = 3,582.59 : x
  2. Step 2: Convert to fraction form
    6,566.58/9,062.08 = 3,582.59/x
  3. Step 3: Cross multiply
    6,566.58x = 9,062.08 × 3,582.59
  4. Step 4: Simplify right side
    6,566.58x = 32,465,717.19
  5. Step 5: Solve for x
    x = 32,465,717.19/6,566.58
  6. Step 6: Final answer
    x = 4,944.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.