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Finding the Fourth Proportional to 5,646.16, 8,470.65 and 2,357.56

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Solution

The fourth proportional to 5,646.16, 8,470.65 and 2,357.56 is: 3,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.16 : 8,470.65 = 2,357.56 : x
  2. Step 2: Convert to fraction form
    5,646.16/8,470.65 = 2,357.56/x
  3. Step 3: Cross multiply
    5,646.16x = 8,470.65 × 2,357.56
  4. Step 4: Simplify right side
    5,646.16x = 19,970,065.61
  5. Step 5: Solve for x
    x = 19,970,065.61/5,646.16
  6. Step 6: Final answer
    x = 3,536.93

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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.